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Finding the Third Proportional to 10,839 and 11,919

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Solution

The third proportional to 10,839 and 11,919 is: 13,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839 : 11,919 = 11,919 : x
  2. Step 2: Convert to fraction form
    10,839/11,919 = 11,919/x
  3. Step 3: Cross multiply
    10,839x = 11,919 × 11,919
  4. Step 4: Simplify right side
    10,839x = 142,062,561
  5. Step 5: Solve for x
    x = 142,062,561/10,839
  6. Step 6: Final answer
    x = 13,106.61

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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.