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Finding the Third Proportional to 31,939.25 and 67,189

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Solution

The third proportional to 31,939.25 and 67,189 is: 141,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,939.25 : 67,189 = 67,189 : x
  2. Step 2: Convert to fraction form
    31,939.25/67,189 = 67,189/x
  3. Step 3: Cross multiply
    31,939.25x = 67,189 × 67,189
  4. Step 4: Simplify right side
    31,939.25x = 4,514,361,721
  5. Step 5: Solve for x
    x = 4,514,361,721/31,939.25
  6. Step 6: Final answer
    x = 141,342.13

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