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Finding the Third Proportional to 31,514.06 and 40,937.91

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Solution

The third proportional to 31,514.06 and 40,937.91 is: 53,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,514.06 : 40,937.91 = 40,937.91 : x
  2. Step 2: Convert to fraction form
    31,514.06/40,937.91 = 40,937.91/x
  3. Step 3: Cross multiply
    31,514.06x = 40,937.91 × 40,937.91
  4. Step 4: Simplify right side
    31,514.06x = 1,675,912,168.13
  5. Step 5: Solve for x
    x = 1,675,912,168.13/31,514.06
  6. Step 6: Final answer
    x = 53,179.82

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.