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Finding the Third Proportional to 3,282 and 5,800

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Solution

The third proportional to 3,282 and 5,800 is: 10,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282 : 5,800 = 5,800 : x
  2. Step 2: Convert to fraction form
    3,282/5,800 = 5,800/x
  3. Step 3: Cross multiply
    3,282x = 5,800 × 5,800
  4. Step 4: Simplify right side
    3,282x = 33,640,000
  5. Step 5: Solve for x
    x = 33,640,000/3,282
  6. Step 6: Final answer
    x = 10,249.85

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.