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Finding the Third Proportional to 6,204 and 8,680

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Solution

The third proportional to 6,204 and 8,680 is: 12,144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204 : 8,680 = 8,680 : x
  2. Step 2: Convert to fraction form
    6,204/8,680 = 8,680/x
  3. Step 3: Cross multiply
    6,204x = 8,680 × 8,680
  4. Step 4: Simplify right side
    6,204x = 75,342,400
  5. Step 5: Solve for x
    x = 75,342,400/6,204
  6. Step 6: Final answer
    x = 12,144.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.