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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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