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Finding the Third Proportional to 24,872 and 54,120

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Solution

The third proportional to 24,872 and 54,120 is: 117,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872 : 54,120 = 54,120 : x
  2. Step 2: Convert to fraction form
    24,872/54,120 = 54,120/x
  3. Step 3: Cross multiply
    24,872x = 54,120 × 54,120
  4. Step 4: Simplify right side
    24,872x = 2,928,974,400
  5. Step 5: Solve for x
    x = 2,928,974,400/24,872
  6. Step 6: Final answer
    x = 117,761.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.