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Finding the Third Proportional to 16,229.13 and 34,098.13

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Solution

The third proportional to 16,229.13 and 34,098.13 is: 71,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.13 : 34,098.13 = 34,098.13 : x
  2. Step 2: Convert to fraction form
    16,229.13/34,098.13 = 34,098.13/x
  3. Step 3: Cross multiply
    16,229.13x = 34,098.13 × 34,098.13
  4. Step 4: Simplify right side
    16,229.13x = 1,162,682,128.52
  5. Step 5: Solve for x
    x = 1,162,682,128.52/16,229.13
  6. Step 6: Final answer
    x = 71,641.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.