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Finding the Third Proportional to 41,446 and 63,743

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Solution

The third proportional to 41,446 and 63,743 is: 98,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,446 : 63,743 = 63,743 : x
  2. Step 2: Convert to fraction form
    41,446/63,743 = 63,743/x
  3. Step 3: Cross multiply
    41,446x = 63,743 × 63,743
  4. Step 4: Simplify right side
    41,446x = 4,063,170,049
  5. Step 5: Solve for x
    x = 4,063,170,049/41,446
  6. Step 6: Final answer
    x = 98,035.28

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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.