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Finding the Third Proportional to 2,976 and 3,400

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Solution

The third proportional to 2,976 and 3,400 is: 3,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976 : 3,400 = 3,400 : x
  2. Step 2: Convert to fraction form
    2,976/3,400 = 3,400/x
  3. Step 3: Cross multiply
    2,976x = 3,400 × 3,400
  4. Step 4: Simplify right side
    2,976x = 11,560,000
  5. Step 5: Solve for x
    x = 11,560,000/2,976
  6. Step 6: Final answer
    x = 3,884.41

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.