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Finding the Third Proportional to 37,640.32 and 80,713.97

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Solution

The third proportional to 37,640.32 and 80,713.97 is: 173,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,640.32 : 80,713.97 = 80,713.97 : x
  2. Step 2: Convert to fraction form
    37,640.32/80,713.97 = 80,713.97/x
  3. Step 3: Cross multiply
    37,640.32x = 80,713.97 × 80,713.97
  4. Step 4: Simplify right side
    37,640.32x = 6,514,744,751.38
  5. Step 5: Solve for x
    x = 6,514,744,751.38/37,640.32
  6. Step 6: Final answer
    x = 173,078.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.