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Finding the Third Proportional to 25,280 and 54,374

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Solution

The third proportional to 25,280 and 54,374 is: 116,951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,280 : 54,374 = 54,374 : x
  2. Step 2: Convert to fraction form
    25,280/54,374 = 54,374/x
  3. Step 3: Cross multiply
    25,280x = 54,374 × 54,374
  4. Step 4: Simplify right side
    25,280x = 2,956,531,876
  5. Step 5: Solve for x
    x = 2,956,531,876/25,280
  6. Step 6: Final answer
    x = 116,951.42

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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.