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Finding the Third Proportional to 25,897 and 29,542

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Solution

The third proportional to 25,897 and 29,542 is: 33,700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897 : 29,542 = 29,542 : x
  2. Step 2: Convert to fraction form
    25,897/29,542 = 29,542/x
  3. Step 3: Cross multiply
    25,897x = 29,542 × 29,542
  4. Step 4: Simplify right side
    25,897x = 872,729,764
  5. Step 5: Solve for x
    x = 872,729,764/25,897
  6. Step 6: Final answer
    x = 33,700.03

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.