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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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