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Monday, January 20, 2020

Find the third proportional to 16 and 36.

Find the third proportional to 16 and 36.
A121
B81
C72
D144

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.

rahul
answered Jan 20 '2020 at 19:44

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