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Finding the Third Proportional to 10,191 and 11,163

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Solution

The third proportional to 10,191 and 11,163 is: 12,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191 : 11,163 = 11,163 : x
  2. Step 2: Convert to fraction form
    10,191/11,163 = 11,163/x
  3. Step 3: Cross multiply
    10,191x = 11,163 × 11,163
  4. Step 4: Simplify right side
    10,191x = 124,612,569
  5. Step 5: Solve for x
    x = 124,612,569/10,191
  6. Step 6: Final answer
    x = 12,227.71

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.