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Finding the Third Proportional to 37,711.22 and 55,914.56

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Solution

The third proportional to 37,711.22 and 55,914.56 is: 82,904.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,711.22 : 55,914.56 = 55,914.56 : x
  2. Step 2: Convert to fraction form
    37,711.22/55,914.56 = 55,914.56/x
  3. Step 3: Cross multiply
    37,711.22x = 55,914.56 × 55,914.56
  4. Step 4: Simplify right side
    37,711.22x = 3,126,438,299.57
  5. Step 5: Solve for x
    x = 3,126,438,299.57/37,711.22
  6. Step 6: Final answer
    x = 82,904.73

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.