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Finding the Third Proportional to 45,049.50 and 61,080.75

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Solution

The third proportional to 45,049.50 and 61,080.75 is: 82,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,049.50 : 61,080.75 = 61,080.75 : x
  2. Step 2: Convert to fraction form
    45,049.50/61,080.75 = 61,080.75/x
  3. Step 3: Cross multiply
    45,049.50x = 61,080.75 × 61,080.75
  4. Step 4: Simplify right side
    45,049.50x = 3,730,858,020.56
  5. Step 5: Solve for x
    x = 3,730,858,020.56/45,049.50
  6. Step 6: Final answer
    x = 82,816.86

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.