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Finding the Third Proportional to 5,227 and 11,374

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Solution

The third proportional to 5,227 and 11,374 is: 24,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227 : 11,374 = 11,374 : x
  2. Step 2: Convert to fraction form
    5,227/11,374 = 11,374/x
  3. Step 3: Cross multiply
    5,227x = 11,374 × 11,374
  4. Step 4: Simplify right side
    5,227x = 129,367,876
  5. Step 5: Solve for x
    x = 129,367,876/5,227
  6. Step 6: Final answer
    x = 24,749.93

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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.