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Finding the Third Proportional to 41,472 and 63,744

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Solution

The third proportional to 41,472 and 63,744 is: 97,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,472 : 63,744 = 63,744 : x
  2. Step 2: Convert to fraction form
    41,472/63,744 = 63,744/x
  3. Step 3: Cross multiply
    41,472x = 63,744 × 63,744
  4. Step 4: Simplify right side
    41,472x = 4,063,297,536
  5. Step 5: Solve for x
    x = 4,063,297,536/41,472
  6. Step 6: Final answer
    x = 97,976.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.