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Finding the Third Proportional to 6,076.69 and 8,230.78

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Solution

The third proportional to 6,076.69 and 8,230.78 is: 11,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.69 : 8,230.78 = 8,230.78 : x
  2. Step 2: Convert to fraction form
    6,076.69/8,230.78 = 8,230.78/x
  3. Step 3: Cross multiply
    6,076.69x = 8,230.78 × 8,230.78
  4. Step 4: Simplify right side
    6,076.69x = 67,745,759.99
  5. Step 5: Solve for x
    x = 67,745,759.99/6,076.69
  6. Step 6: Final answer
    x = 11,148.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.