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Finding the Third Proportional to 25,250 and 54,874

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Solution

The third proportional to 25,250 and 54,874 is: 119,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,250 : 54,874 = 54,874 : x
  2. Step 2: Convert to fraction form
    25,250/54,874 = 54,874/x
  3. Step 3: Cross multiply
    25,250x = 54,874 × 54,874
  4. Step 4: Simplify right side
    25,250x = 3,011,155,876
  5. Step 5: Solve for x
    x = 3,011,155,876/25,250
  6. Step 6: Final answer
    x = 119,253.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.