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Finding the Third Proportional to 49,891.13 and 71,722.13

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Solution

The third proportional to 49,891.13 and 71,722.13 is: 103,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,891.13 : 71,722.13 = 71,722.13 : x
  2. Step 2: Convert to fraction form
    49,891.13/71,722.13 = 71,722.13/x
  3. Step 3: Cross multiply
    49,891.13x = 71,722.13 × 71,722.13
  4. Step 4: Simplify right side
    49,891.13x = 5,144,063,214.52
  5. Step 5: Solve for x
    x = 5,144,063,214.52/49,891.13
  6. Step 6: Final answer
    x = 103,105.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.