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Finding the Third Proportional to 29,762 and 39,498

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Solution

The third proportional to 29,762 and 39,498 is: 52,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762 : 39,498 = 39,498 : x
  2. Step 2: Convert to fraction form
    29,762/39,498 = 39,498/x
  3. Step 3: Cross multiply
    29,762x = 39,498 × 39,498
  4. Step 4: Simplify right side
    29,762x = 1,560,092,004
  5. Step 5: Solve for x
    x = 1,560,092,004/29,762
  6. Step 6: Final answer
    x = 52,418.92

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Why These Related Problems?

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