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Finding the Third Proportional to 2,686 and 3,799

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Solution

The third proportional to 2,686 and 3,799 is: 5,373.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686 : 3,799 = 3,799 : x
  2. Step 2: Convert to fraction form
    2,686/3,799 = 3,799/x
  3. Step 3: Cross multiply
    2,686x = 3,799 × 3,799
  4. Step 4: Simplify right side
    2,686x = 14,432,401
  5. Step 5: Solve for x
    x = 14,432,401/2,686
  6. Step 6: Final answer
    x = 5,373.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.