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Finding the Third Proportional to 5,839 and 8,738

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Solution

The third proportional to 5,839 and 8,738 is: 13,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839 : 8,738 = 8,738 : x
  2. Step 2: Convert to fraction form
    5,839/8,738 = 8,738/x
  3. Step 3: Cross multiply
    5,839x = 8,738 × 8,738
  4. Step 4: Simplify right side
    5,839x = 76,352,644
  5. Step 5: Solve for x
    x = 76,352,644/5,839
  6. Step 6: Final answer
    x = 13,076.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.