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Finding the Third Proportional to 5,864 and 8,474

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Solution

The third proportional to 5,864 and 8,474 is: 12,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864 : 8,474 = 8,474 : x
  2. Step 2: Convert to fraction form
    5,864/8,474 = 8,474/x
  3. Step 3: Cross multiply
    5,864x = 8,474 × 8,474
  4. Step 4: Simplify right side
    5,864x = 71,808,676
  5. Step 5: Solve for x
    x = 71,808,676/5,864
  6. Step 6: Final answer
    x = 12,245.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.