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Finding the Third Proportional to 3,771.76 and 5,542.17

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Solution

The third proportional to 3,771.76 and 5,542.17 is: 8,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.76 : 5,542.17 = 5,542.17 : x
  2. Step 2: Convert to fraction form
    3,771.76/5,542.17 = 5,542.17/x
  3. Step 3: Cross multiply
    3,771.76x = 5,542.17 × 5,542.17
  4. Step 4: Simplify right side
    3,771.76x = 30,715,669.09
  5. Step 5: Solve for x
    x = 30,715,669.09/3,771.76
  6. Step 6: Final answer
    x = 8,143.59

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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.