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Finding the Third Proportional to 31,495.50 and 68,527

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Solution

The third proportional to 31,495.50 and 68,527 is: 149,099.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,495.50 : 68,527 = 68,527 : x
  2. Step 2: Convert to fraction form
    31,495.50/68,527 = 68,527/x
  3. Step 3: Cross multiply
    31,495.50x = 68,527 × 68,527
  4. Step 4: Simplify right side
    31,495.50x = 4,695,949,729
  5. Step 5: Solve for x
    x = 4,695,949,729/31,495.50
  6. Step 6: Final answer
    x = 149,099.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.