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Finding the Third Proportional to 2,039 and 3,866

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Solution

The third proportional to 2,039 and 3,866 is: 7,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039 : 3,866 = 3,866 : x
  2. Step 2: Convert to fraction form
    2,039/3,866 = 3,866/x
  3. Step 3: Cross multiply
    2,039x = 3,866 × 3,866
  4. Step 4: Simplify right side
    2,039x = 14,945,956
  5. Step 5: Solve for x
    x = 14,945,956/2,039
  6. Step 6: Final answer
    x = 7,330.04

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.