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Finding the Third Proportional to 32,114.81 and 67,691.53

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Solution

The third proportional to 32,114.81 and 67,691.53 is: 142,680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.81 : 67,691.53 = 67,691.53 : x
  2. Step 2: Convert to fraction form
    32,114.81/67,691.53 = 67,691.53/x
  3. Step 3: Cross multiply
    32,114.81x = 67,691.53 × 67,691.53
  4. Step 4: Simplify right side
    32,114.81x = 4,582,143,402.97
  5. Step 5: Solve for x
    x = 4,582,143,402.97/32,114.81
  6. Step 6: Final answer
    x = 142,680.06

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.