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Finding the Third Proportional to 3,892 and 6,394

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Solution

The third proportional to 3,892 and 6,394 is: 10,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892 : 6,394 = 6,394 : x
  2. Step 2: Convert to fraction form
    3,892/6,394 = 6,394/x
  3. Step 3: Cross multiply
    3,892x = 6,394 × 6,394
  4. Step 4: Simplify right side
    3,892x = 40,883,236
  5. Step 5: Solve for x
    x = 40,883,236/3,892
  6. Step 6: Final answer
    x = 10,504.43

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.