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Finding the Third Proportional to 37,657.13 and 55,042.59

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Solution

The third proportional to 37,657.13 and 55,042.59 is: 80,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657.13 : 55,042.59 = 55,042.59 : x
  2. Step 2: Convert to fraction form
    37,657.13/55,042.59 = 55,042.59/x
  3. Step 3: Cross multiply
    37,657.13x = 55,042.59 × 55,042.59
  4. Step 4: Simplify right side
    37,657.13x = 3,029,687,126.73
  5. Step 5: Solve for x
    x = 3,029,687,126.73/37,657.13
  6. Step 6: Final answer
    x = 80,454.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.