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Finding the Third Proportional to 37,711.41 and 55,914.75

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Solution

The third proportional to 37,711.41 and 55,914.75 is: 82,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,711.41 : 55,914.75 = 55,914.75 : x
  2. Step 2: Convert to fraction form
    37,711.41/55,914.75 = 55,914.75/x
  3. Step 3: Cross multiply
    37,711.41x = 55,914.75 × 55,914.75
  4. Step 4: Simplify right side
    37,711.41x = 3,126,459,267.56
  5. Step 5: Solve for x
    x = 3,126,459,267.56/37,711.41
  6. Step 6: Final answer
    x = 82,904.87

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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.