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Finding the Third Proportional to 3,832 and 5,171

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Solution

The third proportional to 3,832 and 5,171 is: 6,977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832 : 5,171 = 5,171 : x
  2. Step 2: Convert to fraction form
    3,832/5,171 = 5,171/x
  3. Step 3: Cross multiply
    3,832x = 5,171 × 5,171
  4. Step 4: Simplify right side
    3,832x = 26,739,241
  5. Step 5: Solve for x
    x = 26,739,241/3,832
  6. Step 6: Final answer
    x = 6,977.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.