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Finding the Third Proportional to 3,401 and 5,074

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Solution

The third proportional to 3,401 and 5,074 is: 7,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401 : 5,074 = 5,074 : x
  2. Step 2: Convert to fraction form
    3,401/5,074 = 5,074/x
  3. Step 3: Cross multiply
    3,401x = 5,074 × 5,074
  4. Step 4: Simplify right side
    3,401x = 25,745,476
  5. Step 5: Solve for x
    x = 25,745,476/3,401
  6. Step 6: Final answer
    x = 7,569.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.