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Finding the Third Proportional to 3,974 and 5,034

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Solution

The third proportional to 3,974 and 5,034 is: 6,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974 : 5,034 = 5,034 : x
  2. Step 2: Convert to fraction form
    3,974/5,034 = 5,034/x
  3. Step 3: Cross multiply
    3,974x = 5,034 × 5,034
  4. Step 4: Simplify right side
    3,974x = 25,341,156
  5. Step 5: Solve for x
    x = 25,341,156/3,974
  6. Step 6: Final answer
    x = 6,376.74

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.