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Finding the Third Proportional to 32,532.57 and 71,292.97

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Solution

The third proportional to 32,532.57 and 71,292.97 is: 156,233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,532.57 : 71,292.97 = 71,292.97 : x
  2. Step 2: Convert to fraction form
    32,532.57/71,292.97 = 71,292.97/x
  3. Step 3: Cross multiply
    32,532.57x = 71,292.97 × 71,292.97
  4. Step 4: Simplify right side
    32,532.57x = 5,082,687,950.16
  5. Step 5: Solve for x
    x = 5,082,687,950.16/32,532.57
  6. Step 6: Final answer
    x = 156,233.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.