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Finding the Third Proportional to 3,867.12 and 6,007.61

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Solution

The third proportional to 3,867.12 and 6,007.61 is: 9,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.12 : 6,007.61 = 6,007.61 : x
  2. Step 2: Convert to fraction form
    3,867.12/6,007.61 = 6,007.61/x
  3. Step 3: Cross multiply
    3,867.12x = 6,007.61 × 6,007.61
  4. Step 4: Simplify right side
    3,867.12x = 36,091,323.47
  5. Step 5: Solve for x
    x = 36,091,323.47/3,867.12
  6. Step 6: Final answer
    x = 9,332.88

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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.