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Finding the Third Proportional to 44,209.50 and 62,493

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Solution

The third proportional to 44,209.50 and 62,493 is: 88,337.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,209.50 : 62,493 = 62,493 : x
  2. Step 2: Convert to fraction form
    44,209.50/62,493 = 62,493/x
  3. Step 3: Cross multiply
    44,209.50x = 62,493 × 62,493
  4. Step 4: Simplify right side
    44,209.50x = 3,905,375,049
  5. Step 5: Solve for x
    x = 3,905,375,049/44,209.50
  6. Step 6: Final answer
    x = 88,337.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.