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Finding the Third Proportional to 3,074 and 4,227

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Solution

The third proportional to 3,074 and 4,227 is: 5,812.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074 : 4,227 = 4,227 : x
  2. Step 2: Convert to fraction form
    3,074/4,227 = 4,227/x
  3. Step 3: Cross multiply
    3,074x = 4,227 × 4,227
  4. Step 4: Simplify right side
    3,074x = 17,867,529
  5. Step 5: Solve for x
    x = 17,867,529/3,074
  6. Step 6: Final answer
    x = 5,812.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.