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Finding the Third Proportional to 3,007.69 and 6,205.88

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Solution

The third proportional to 3,007.69 and 6,205.88 is: 12,804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.69 : 6,205.88 = 6,205.88 : x
  2. Step 2: Convert to fraction form
    3,007.69/6,205.88 = 6,205.88/x
  3. Step 3: Cross multiply
    3,007.69x = 6,205.88 × 6,205.88
  4. Step 4: Simplify right side
    3,007.69x = 38,512,884.52
  5. Step 5: Solve for x
    x = 38,512,884.52/3,007.69
  6. Step 6: Final answer
    x = 12,804.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.