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Finding the Third Proportional to 3,739 and 8,093

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Solution

The third proportional to 3,739 and 8,093 is: 17,517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739 : 8,093 = 8,093 : x
  2. Step 2: Convert to fraction form
    3,739/8,093 = 8,093/x
  3. Step 3: Cross multiply
    3,739x = 8,093 × 8,093
  4. Step 4: Simplify right side
    3,739x = 65,496,649
  5. Step 5: Solve for x
    x = 65,496,649/3,739
  6. Step 6: Final answer
    x = 17,517.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.