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Finding the Third Proportional to 3,409 and 5,439

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Solution

The third proportional to 3,409 and 5,439 is: 8,677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409 : 5,439 = 5,439 : x
  2. Step 2: Convert to fraction form
    3,409/5,439 = 5,439/x
  3. Step 3: Cross multiply
    3,409x = 5,439 × 5,439
  4. Step 4: Simplify right side
    3,409x = 29,582,721
  5. Step 5: Solve for x
    x = 29,582,721/3,409
  6. Step 6: Final answer
    x = 8,677.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.