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Finding the Third Proportional to 2,311 and 5,147

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Solution

The third proportional to 2,311 and 5,147 is: 11,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311 : 5,147 = 5,147 : x
  2. Step 2: Convert to fraction form
    2,311/5,147 = 5,147/x
  3. Step 3: Cross multiply
    2,311x = 5,147 × 5,147
  4. Step 4: Simplify right side
    2,311x = 26,491,609
  5. Step 5: Solve for x
    x = 26,491,609/2,311
  6. Step 6: Final answer
    x = 11,463.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.