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Finding the Third Proportional to 2,381 and 5,171

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Solution

The third proportional to 2,381 and 5,171 is: 11,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381 : 5,171 = 5,171 : x
  2. Step 2: Convert to fraction form
    2,381/5,171 = 5,171/x
  3. Step 3: Cross multiply
    2,381x = 5,171 × 5,171
  4. Step 4: Simplify right side
    2,381x = 26,739,241
  5. Step 5: Solve for x
    x = 26,739,241/2,381
  6. Step 6: Final answer
    x = 11,230.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.