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Finding the Third Proportional to 2,388 and 3,439

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Solution

The third proportional to 2,388 and 3,439 is: 4,952.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388 : 3,439 = 3,439 : x
  2. Step 2: Convert to fraction form
    2,388/3,439 = 3,439/x
  3. Step 3: Cross multiply
    2,388x = 3,439 × 3,439
  4. Step 4: Simplify right side
    2,388x = 11,826,721
  5. Step 5: Solve for x
    x = 11,826,721/2,388
  6. Step 6: Final answer
    x = 4,952.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.