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Finding the Third Proportional to 31,939.75 and 67,190

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Solution

The third proportional to 31,939.75 and 67,190 is: 141,344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,939.75 : 67,190 = 67,190 : x
  2. Step 2: Convert to fraction form
    31,939.75/67,190 = 67,190/x
  3. Step 3: Cross multiply
    31,939.75x = 67,190 × 67,190
  4. Step 4: Simplify right side
    31,939.75x = 4,514,496,100
  5. Step 5: Solve for x
    x = 4,514,496,100/31,939.75
  6. Step 6: Final answer
    x = 141,344.13

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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.