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Finding the Third Proportional to 25,499 and 54,691

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Solution

The third proportional to 25,499 and 54,691 is: 117,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,499 : 54,691 = 54,691 : x
  2. Step 2: Convert to fraction form
    25,499/54,691 = 54,691/x
  3. Step 3: Cross multiply
    25,499x = 54,691 × 54,691
  4. Step 4: Simplify right side
    25,499x = 2,991,105,481
  5. Step 5: Solve for x
    x = 2,991,105,481/25,499
  6. Step 6: Final answer
    x = 117,302.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.