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Finding the Third Proportional to 10,739.25 and 23,067

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Solution

The third proportional to 10,739.25 and 23,067 is: 49,545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739.25 : 23,067 = 23,067 : x
  2. Step 2: Convert to fraction form
    10,739.25/23,067 = 23,067/x
  3. Step 3: Cross multiply
    10,739.25x = 23,067 × 23,067
  4. Step 4: Simplify right side
    10,739.25x = 532,086,489
  5. Step 5: Solve for x
    x = 532,086,489/10,739.25
  6. Step 6: Final answer
    x = 49,545.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.