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Finding the Third Proportional to 2,039 and 3,862

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Solution

The third proportional to 2,039 and 3,862 is: 7,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039 : 3,862 = 3,862 : x
  2. Step 2: Convert to fraction form
    2,039/3,862 = 3,862/x
  3. Step 3: Cross multiply
    2,039x = 3,862 × 3,862
  4. Step 4: Simplify right side
    2,039x = 14,915,044
  5. Step 5: Solve for x
    x = 14,915,044/2,039
  6. Step 6: Final answer
    x = 7,314.88

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.