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Find the ratio between the third proportional of 32 and 48 with the third proportional of 4 and 18.
Question

Find the ratio between the third proportional of 32 and 48 with the third proportional of 4 and 18.

A.

3 : 4

B.

4 : 7

C.

8 : 9

D.

7 : 8

Correct option is C

Given:
First pair: 32 and 48
Second pair: 4 and 18
Formula Used:
Third proportional = (b × b) ÷ a
Solution:
Third proportional for 32 and 48 = 48×4832=230432=72\frac{48 \times 48}{32} = \frac{2304}{32} = 72​​

Third proportional for 4 and 18 = 18×184=3244=81\frac{18 \times 18}{4} = \frac{324}{4} = 81​​
=> Ratio = 72 ÷ 81 = 8 : 9

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