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Finding the Third Proportional to 8,407.13 and 12,474

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Solution

The third proportional to 8,407.13 and 12,474 is: 18,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.13 : 12,474 = 12,474 : x
  2. Step 2: Convert to fraction form
    8,407.13/12,474 = 12,474/x
  3. Step 3: Cross multiply
    8,407.13x = 12,474 × 12,474
  4. Step 4: Simplify right side
    8,407.13x = 155,600,676
  5. Step 5: Solve for x
    x = 155,600,676/8,407.13
  6. Step 6: Final answer
    x = 18,508.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.