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Finding the Third Proportional to 6,204.75 and 8,679.38

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Solution

The third proportional to 6,204.75 and 8,679.38 is: 12,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.75 : 8,679.38 = 8,679.38 : x
  2. Step 2: Convert to fraction form
    6,204.75/8,679.38 = 8,679.38/x
  3. Step 3: Cross multiply
    6,204.75x = 8,679.38 × 8,679.38
  4. Step 4: Simplify right side
    6,204.75x = 75,331,550.39
  5. Step 5: Solve for x
    x = 75,331,550.39/6,204.75
  6. Step 6: Final answer
    x = 12,140.95

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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.