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Finding the Third Proportional to 48,691.75 and 73,067.75

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Solution

The third proportional to 48,691.75 and 73,067.75 is: 109,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,691.75 : 73,067.75 = 73,067.75 : x
  2. Step 2: Convert to fraction form
    48,691.75/73,067.75 = 73,067.75/x
  3. Step 3: Cross multiply
    48,691.75x = 73,067.75 × 73,067.75
  4. Step 4: Simplify right side
    48,691.75x = 5,338,896,090.06
  5. Step 5: Solve for x
    x = 5,338,896,090.06/48,691.75
  6. Step 6: Final answer
    x = 109,646.83

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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.