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Finding the Third Proportional to 3,940 and 5,677

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Solution

The third proportional to 3,940 and 5,677 is: 8,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940 : 5,677 = 5,677 : x
  2. Step 2: Convert to fraction form
    3,940/5,677 = 5,677/x
  3. Step 3: Cross multiply
    3,940x = 5,677 × 5,677
  4. Step 4: Simplify right side
    3,940x = 32,228,329
  5. Step 5: Solve for x
    x = 32,228,329/3,940
  6. Step 6: Final answer
    x = 8,179.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.