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Finding the Third Proportional to 3,384 and 6,400

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Solution

The third proportional to 3,384 and 6,400 is: 12,104.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384 : 6,400 = 6,400 : x
  2. Step 2: Convert to fraction form
    3,384/6,400 = 6,400/x
  3. Step 3: Cross multiply
    3,384x = 6,400 × 6,400
  4. Step 4: Simplify right side
    3,384x = 40,960,000
  5. Step 5: Solve for x
    x = 40,960,000/3,384
  6. Step 6: Final answer
    x = 12,104.02

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.