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Finding the Third Proportional to 6,310.38 and 9,769.69

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Solution

The third proportional to 6,310.38 and 9,769.69 is: 15,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.38 : 9,769.69 = 9,769.69 : x
  2. Step 2: Convert to fraction form
    6,310.38/9,769.69 = 9,769.69/x
  3. Step 3: Cross multiply
    6,310.38x = 9,769.69 × 9,769.69
  4. Step 4: Simplify right side
    6,310.38x = 95,446,793.85
  5. Step 5: Solve for x
    x = 95,446,793.85/6,310.38
  6. Step 6: Final answer
    x = 15,125.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.