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      Question

      If the third proportion of 27 and 36 is β€œ0.5k”, then

      find the value of (k βˆ’ 36) : (k + 12).
      A 5:9 Correct Answer Incorrect Answer
      B 4:7 Correct Answer Incorrect Answer
      C 1:2 Correct Answer Incorrect Answer
      D 3:8 Correct Answer Incorrect Answer

      Solution

      Third proportion of two numbers β€˜a’ and β€˜b’ is (bΒ²/a).
      So, 0.5k = (36Β²/27) = 48
      Or, 'k' = 96
      Required value = (96 - 36) : (96 + 12) = 60 : 108 = 5 : 9

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