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Finding the Third Proportional to 32,665.75 and 71,559

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Solution

The third proportional to 32,665.75 and 71,559 is: 156,760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,665.75 : 71,559 = 71,559 : x
  2. Step 2: Convert to fraction form
    32,665.75/71,559 = 71,559/x
  3. Step 3: Cross multiply
    32,665.75x = 71,559 × 71,559
  4. Step 4: Simplify right side
    32,665.75x = 5,120,690,481
  5. Step 5: Solve for x
    x = 5,120,690,481/32,665.75
  6. Step 6: Final answer
    x = 156,760.23

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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.