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Finding the Third Proportional to 3,599 and 5,744

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Solution

The third proportional to 3,599 and 5,744 is: 9,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599 : 5,744 = 5,744 : x
  2. Step 2: Convert to fraction form
    3,599/5,744 = 5,744/x
  3. Step 3: Cross multiply
    3,599x = 5,744 × 5,744
  4. Step 4: Simplify right side
    3,599x = 32,993,536
  5. Step 5: Solve for x
    x = 32,993,536/3,599
  6. Step 6: Final answer
    x = 9,167.42

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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.