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Finding the Third Proportional to 3,767.87 and 5,542.91

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Solution

The third proportional to 3,767.87 and 5,542.91 is: 8,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.87 : 5,542.91 = 5,542.91 : x
  2. Step 2: Convert to fraction form
    3,767.87/5,542.91 = 5,542.91/x
  3. Step 3: Cross multiply
    3,767.87x = 5,542.91 × 5,542.91
  4. Step 4: Simplify right side
    3,767.87x = 30,723,853.00
  5. Step 5: Solve for x
    x = 30,723,853.00/3,767.87
  6. Step 6: Final answer
    x = 8,154.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.