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Finding the Third Proportional to 24,902 and 54,151

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Solution

The third proportional to 24,902 and 54,151 is: 117,754.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902 : 54,151 = 54,151 : x
  2. Step 2: Convert to fraction form
    24,902/54,151 = 54,151/x
  3. Step 3: Cross multiply
    24,902x = 54,151 × 54,151
  4. Step 4: Simplify right side
    24,902x = 2,932,330,801
  5. Step 5: Solve for x
    x = 2,932,330,801/24,902
  6. Step 6: Final answer
    x = 117,754.83

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Why These Related Problems?

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