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Finding the Third Proportional to 37,635.31 and 55,039.97

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Solution

The third proportional to 37,635.31 and 55,039.97 is: 80,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,635.31 : 55,039.97 = 55,039.97 : x
  2. Step 2: Convert to fraction form
    37,635.31/55,039.97 = 55,039.97/x
  3. Step 3: Cross multiply
    37,635.31x = 55,039.97 × 55,039.97
  4. Step 4: Simplify right side
    37,635.31x = 3,029,398,160.00
  5. Step 5: Solve for x
    x = 3,029,398,160.00/37,635.31
  6. Step 6: Final answer
    x = 80,493.50

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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.