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Finding the Third Proportional to 3,897 and 6,057

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Solution

The third proportional to 3,897 and 6,057 is: 9,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897 : 6,057 = 6,057 : x
  2. Step 2: Convert to fraction form
    3,897/6,057 = 6,057/x
  3. Step 3: Cross multiply
    3,897x = 6,057 × 6,057
  4. Step 4: Simplify right side
    3,897x = 36,687,249
  5. Step 5: Solve for x
    x = 36,687,249/3,897
  6. Step 6: Final answer
    x = 9,414.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.