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Finding the Third Proportional to 47,962.13 and 71,943.19

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Solution

The third proportional to 47,962.13 and 71,943.19 is: 107,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,962.13 : 71,943.19 = 71,943.19 : x
  2. Step 2: Convert to fraction form
    47,962.13/71,943.19 = 71,943.19/x
  3. Step 3: Cross multiply
    47,962.13x = 71,943.19 × 71,943.19
  4. Step 4: Simplify right side
    47,962.13x = 5,175,822,227.66
  5. Step 5: Solve for x
    x = 5,175,822,227.66/47,962.13
  6. Step 6: Final answer
    x = 107,914.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.