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    Question

    If the third proportion of 30 and 45 is β€œ0.5k”, then

    find the value of (k βˆ’ 18) : (k + 22).
    A 39:52 Correct Answer Incorrect Answer
    B 35:47 Correct Answer Incorrect Answer
    C 3:4 Correct Answer Incorrect Answer
    D 12:23 Correct Answer Incorrect Answer

    Solution

    Third proportion of two numbers β€˜a’ and β€˜b’ is (bΒ²/a).
    So, 0.5k = (45Β²/30) = 67.5
    Or, 'k' = 135
    Required value = (135 - 18) : (135 + 22) = 117 : 157 = 39 : 52

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