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Finding the Third Proportional to 42,359.34 and 56,472.89

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Solution

The third proportional to 42,359.34 and 56,472.89 is: 75,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,359.34 : 56,472.89 = 56,472.89 : x
  2. Step 2: Convert to fraction form
    42,359.34/56,472.89 = 56,472.89/x
  3. Step 3: Cross multiply
    42,359.34x = 56,472.89 × 56,472.89
  4. Step 4: Simplify right side
    42,359.34x = 3,189,187,375.54
  5. Step 5: Solve for x
    x = 3,189,187,375.54/42,359.34
  6. Step 6: Final answer
    x = 75,288.88

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.