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Finding the Third Proportional to 25,035 and 54,981

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Solution

The third proportional to 25,035 and 54,981 is: 120,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,035 : 54,981 = 54,981 : x
  2. Step 2: Convert to fraction form
    25,035/54,981 = 54,981/x
  3. Step 3: Cross multiply
    25,035x = 54,981 × 54,981
  4. Step 4: Simplify right side
    25,035x = 3,022,910,361
  5. Step 5: Solve for x
    x = 3,022,910,361/25,035
  6. Step 6: Final answer
    x = 120,747.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.