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Finding the Third Proportional to 38,711.25 and 54,511.50

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Solution

The third proportional to 38,711.25 and 54,511.50 is: 76,760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,711.25 : 54,511.50 = 54,511.50 : x
  2. Step 2: Convert to fraction form
    38,711.25/54,511.50 = 54,511.50/x
  3. Step 3: Cross multiply
    38,711.25x = 54,511.50 × 54,511.50
  4. Step 4: Simplify right side
    38,711.25x = 2,971,503,632.25
  5. Step 5: Solve for x
    x = 2,971,503,632.25/38,711.25
  6. Step 6: Final answer
    x = 76,760.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.