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Finding the Third Proportional to 41,472 and 55,872

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Solution

The third proportional to 41,472 and 55,872 is: 75,272

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,472 : 55,872 = 55,872 : x
  2. Step 2: Convert to fraction form
    41,472/55,872 = 55,872/x
  3. Step 3: Cross multiply
    41,472x = 55,872 × 55,872
  4. Step 4: Simplify right side
    41,472x = 3,121,680,384
  5. Step 5: Solve for x
    x = 3,121,680,384/41,472
  6. Step 6: Final answer
    x = 75,272

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.