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Finding the Third Proportional to 3,589 and 6,395

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Solution

The third proportional to 3,589 and 6,395 is: 11,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589 : 6,395 = 6,395 : x
  2. Step 2: Convert to fraction form
    3,589/6,395 = 6,395/x
  3. Step 3: Cross multiply
    3,589x = 6,395 × 6,395
  4. Step 4: Simplify right side
    3,589x = 40,896,025
  5. Step 5: Solve for x
    x = 40,896,025/3,589
  6. Step 6: Final answer
    x = 11,394.82

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.