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Finding the Third Proportional to 8,474 and 11,567

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Solution

The third proportional to 8,474 and 11,567 is: 15,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474 : 11,567 = 11,567 : x
  2. Step 2: Convert to fraction form
    8,474/11,567 = 11,567/x
  3. Step 3: Cross multiply
    8,474x = 11,567 × 11,567
  4. Step 4: Simplify right side
    8,474x = 133,795,489
  5. Step 5: Solve for x
    x = 133,795,489/8,474
  6. Step 6: Final answer
    x = 15,788.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.