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Finding the Third Proportional to 15,538 and 24,227

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Solution

The third proportional to 15,538 and 24,227 is: 37,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538 : 24,227 = 24,227 : x
  2. Step 2: Convert to fraction form
    15,538/24,227 = 24,227/x
  3. Step 3: Cross multiply
    15,538x = 24,227 × 24,227
  4. Step 4: Simplify right side
    15,538x = 586,947,529
  5. Step 5: Solve for x
    x = 586,947,529/15,538
  6. Step 6: Final answer
    x = 37,774.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.