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Finding the Third Proportional to 25,399 and 54,782

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Solution

The third proportional to 25,399 and 54,782 is: 118,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,399 : 54,782 = 54,782 : x
  2. Step 2: Convert to fraction form
    25,399/54,782 = 54,782/x
  3. Step 3: Cross multiply
    25,399x = 54,782 × 54,782
  4. Step 4: Simplify right side
    25,399x = 3,001,067,524
  5. Step 5: Solve for x
    x = 3,001,067,524/25,399
  6. Step 6: Final answer
    x = 118,156.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.