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Finding the Third Proportional to 24,542 and 39,025

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Solution

The third proportional to 24,542 and 39,025 is: 62,054.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,542 : 39,025 = 39,025 : x
  2. Step 2: Convert to fraction form
    24,542/39,025 = 39,025/x
  3. Step 3: Cross multiply
    24,542x = 39,025 × 39,025
  4. Step 4: Simplify right side
    24,542x = 1,522,950,625
  5. Step 5: Solve for x
    x = 1,522,950,625/24,542
  6. Step 6: Final answer
    x = 62,054.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.