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Finding the Third Proportional to 24,874 and 54,124

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Solution

The third proportional to 24,874 and 54,124 is: 117,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,874 : 54,124 = 54,124 : x
  2. Step 2: Convert to fraction form
    24,874/54,124 = 54,124/x
  3. Step 3: Cross multiply
    24,874x = 54,124 × 54,124
  4. Step 4: Simplify right side
    24,874x = 2,929,407,376
  5. Step 5: Solve for x
    x = 2,929,407,376/24,874
  6. Step 6: Final answer
    x = 117,769.86

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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.