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Finding the Third Proportional to 2,066 and 3,874

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Solution

The third proportional to 2,066 and 3,874 is: 7,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066 : 3,874 = 3,874 : x
  2. Step 2: Convert to fraction form
    2,066/3,874 = 3,874/x
  3. Step 3: Cross multiply
    2,066x = 3,874 × 3,874
  4. Step 4: Simplify right side
    2,066x = 15,007,876
  5. Step 5: Solve for x
    x = 15,007,876/2,066
  6. Step 6: Final answer
    x = 7,264.22

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.