Question : What is the third proportional to 12 and $6 \sqrt{5}$?
Option 1: 12
Option 2: 15
Option 3: 18
Option 4: 21
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Correct Answer: 15
Solution :
Third proportional to $a, b$ = $\frac{b^2}{a}$
Third proportional to 12 and $6 \sqrt{5}$
= $\frac{(6 \sqrt{5})^2}{12}$
= $\frac{36×5}{12}$
= $15$
Hence, the correct answer is 15.
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