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Finding the Third Proportional to 25,355 and 47,537

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Solution

The third proportional to 25,355 and 47,537 is: 89,125.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,355 : 47,537 = 47,537 : x
  2. Step 2: Convert to fraction form
    25,355/47,537 = 47,537/x
  3. Step 3: Cross multiply
    25,355x = 47,537 × 47,537
  4. Step 4: Simplify right side
    25,355x = 2,259,766,369
  5. Step 5: Solve for x
    x = 2,259,766,369/25,355
  6. Step 6: Final answer
    x = 89,125.08

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.