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Finding the Third Proportional to 5,119 and 5,839

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Solution

The third proportional to 5,119 and 5,839 is: 6,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119 : 5,839 = 5,839 : x
  2. Step 2: Convert to fraction form
    5,119/5,839 = 5,839/x
  3. Step 3: Cross multiply
    5,119x = 5,839 × 5,839
  4. Step 4: Simplify right side
    5,119x = 34,093,921
  5. Step 5: Solve for x
    x = 34,093,921/5,119
  6. Step 6: Final answer
    x = 6,660.27

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.