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Finding the Third Proportional to 25,463 and 54,847

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Solution

The third proportional to 25,463 and 54,847 is: 118,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,463 : 54,847 = 54,847 : x
  2. Step 2: Convert to fraction form
    25,463/54,847 = 54,847/x
  3. Step 3: Cross multiply
    25,463x = 54,847 × 54,847
  4. Step 4: Simplify right side
    25,463x = 3,008,193,409
  5. Step 5: Solve for x
    x = 3,008,193,409/25,463
  6. Step 6: Final answer
    x = 118,139.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.