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Finding the Third Proportional to 3,456 and 8,325

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Solution

The third proportional to 3,456 and 8,325 is: 20,053.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456 : 8,325 = 8,325 : x
  2. Step 2: Convert to fraction form
    3,456/8,325 = 8,325/x
  3. Step 3: Cross multiply
    3,456x = 8,325 × 8,325
  4. Step 4: Simplify right side
    3,456x = 69,305,625
  5. Step 5: Solve for x
    x = 69,305,625/3,456
  6. Step 6: Final answer
    x = 20,053.71

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.