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Finding the Third Proportional to 5,839 and 8,716

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Solution

The third proportional to 5,839 and 8,716 is: 13,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839 : 8,716 = 8,716 : x
  2. Step 2: Convert to fraction form
    5,839/8,716 = 8,716/x
  3. Step 3: Cross multiply
    5,839x = 8,716 × 8,716
  4. Step 4: Simplify right side
    5,839x = 75,968,656
  5. Step 5: Solve for x
    x = 75,968,656/5,839
  6. Step 6: Final answer
    x = 13,010.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.