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Finding the Third Proportional to 9,538 and 15,227

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Solution

The third proportional to 9,538 and 15,227 is: 24,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538 : 15,227 = 15,227 : x
  2. Step 2: Convert to fraction form
    9,538/15,227 = 15,227/x
  3. Step 3: Cross multiply
    9,538x = 15,227 × 15,227
  4. Step 4: Simplify right side
    9,538x = 231,861,529
  5. Step 5: Solve for x
    x = 231,861,529/9,538
  6. Step 6: Final answer
    x = 24,309.24

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.