Find the third proportional to 16 and 36.
Find the third proportional to 16 and 36.
A121
B81
C72
D144
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Correct answer is: 81
Explanation:
If C is the third proportional to A and B, then \(\frac{A}{B} = \frac{B}{C}\)
If x is the third proportional to 16 and 36, then \(\frac{16}{36} = \frac{36}{x}\)
\(=> \frac{4}{9} = \frac{36}{x}\)
\(=> x = 36 \times \frac{9}{4}\)
\(=> x = 9 \times 9\)
\(=> x = 81\)
Hence, The third proportional to 16 and 36 is 81.
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