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Finding the Third Proportional to 3,874 and 5,974

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Solution

The third proportional to 3,874 and 5,974 is: 9,212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874 : 5,974 = 5,974 : x
  2. Step 2: Convert to fraction form
    3,874/5,974 = 5,974/x
  3. Step 3: Cross multiply
    3,874x = 5,974 × 5,974
  4. Step 4: Simplify right side
    3,874x = 35,688,676
  5. Step 5: Solve for x
    x = 35,688,676/3,874
  6. Step 6: Final answer
    x = 9,212.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.