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<font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">La media proporcional geométrica entre <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#a«/mi»«/math»</span> y <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#b«/mi»«/math»</span> corresponde a:</span></font>
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<div style="text-align: justify;"><font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">Solución</span></font><br /><br /><font size="4"><span style="font-family: times new roman,times,serif;"><span style="font-style: italic;">Para resolver, debemos recordar que la media proporcional geométrica corresponde a una proporción continua donde se cumple que: </span></span></font><font size="4"><span style="font-family: times new roman,times,serif;"><span style="font-style: italic;"></span></span></font><span style="font-style: italic;"><span style="font-family: times new roman,times,serif;"></span></span><font size="4"><span style="font-family: times new roman,times,serif;"><span style="font-style: italic;"> <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mi»a«/mi»«mi»x«/mi»«/mfrac»«mo»=«/mo»«mfrac»«mi»x«/mi»«mi»b«/mi»«/mfrac»«mo»§nbsp;«/mo»«mi»ó«/mi»«mo»§nbsp;«/mo»«mfrac»«mi»x«/mi»«mi»a«/mi»«/mfrac»«mo»=«/mo»«mfrac»«mi»b«/mi»«mi»x«/mi»«/mfrac»«/math»</span></span></span></font> <font size="4"><span style="font-family: times new roman,times,serif;"><span style="font-style: italic;">y </span></span></font><span style="font-style: italic;"><span style="font-family: times new roman,times,serif;"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»</span></span></span><font size="4"><span style="font-family: times new roman,times,serif;"><span style="font-style: italic;"> representa la media proporcional geométrica. Entonces, si reemplazamos, nos queda:</span></span></font><span style="font-family: times new roman,times,serif;"></span> <span style="font-family: times new roman,times,serif;"><span style="font-style: italic;"></span></span><br /><br /><font size="4"><span style="font-family: times new roman,times,serif;"><span style="font-style: italic;"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»#a«/mi»«/mrow»«mi»x«/mi»«/mfrac»«mo»=«/mo»«mfrac»«mi»x«/mi»«mrow»«mi»#b«/mi»«/mrow»«/mfrac»«/math»</span></span></span></font><br /><span style="font-style: italic;"><span style="font-family: times new roman,times,serif;"></span></span><font size="4"><span style="font-family: times new roman,times,serif;"><span style="font-style: italic;">Luego, aplicamos el Teorema Fundamental de las Proporciones que postula: "En una proporción, la multiplicación de los medios es igual a la multiplicación de los extremos"</span></span></font>.<br /><br /><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#c«/mi»«mo»=«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/math»</span> <br /><span style="font-style: italic;"><span style="font-family: times new roman,times,serif;"><font size="4">Por lo tanto:<br /><br /></font><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mo»=«/mo»«mi»#sol«/mi»«/math»</span><font size="4"><span style="font-style: italic;"><br />Así, </span></font></span></span><font size="4" style="font-style: italic;"><span style="font-family: times new roman,times,serif;">la media proporcional geométrica entre <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#a«/mi»«/math»</span> y <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#b«/mi»«/math»</span> es</span></font><span style="font-style: italic;"><span style="font-family: times new roman,times,serif;"><font size="4"><span style="font-style: italic;"> <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»#sol«/mi»«/math»</span>.<br /><br />Obs: No utilizaremos valor absoluto para evitar confusión.<br /></span></font></span></span><span style="font-style: italic;"><span style="font-family: times new roman,times,serif;"></span></span><font size="4"><span style="font-family: times new roman,times,serif;"><span style="font-style: italic;"></span></span></font></div>
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<font size="4"><span style="font-family: times new roman,times,serif;"><span style="font-style: italic;">¡Muy bien, sigue así!</span></span></font><br />
Answer 2
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<div style="text-align: justify; font-style: italic;"><font size="4"><span style="font-family: times new roman,times,serif;">Revisa tu desarrollo. ¡Tú puedes!</span></font></div>
Answer 3
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66.66667%
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33.33333%
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16.66667%
14.28571%
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