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Finding the Third Proportional to 3,163.64 and 6,873.61

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Solution

The third proportional to 3,163.64 and 6,873.61 is: 14,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.64 : 6,873.61 = 6,873.61 : x
  2. Step 2: Convert to fraction form
    3,163.64/6,873.61 = 6,873.61/x
  3. Step 3: Cross multiply
    3,163.64x = 6,873.61 × 6,873.61
  4. Step 4: Simplify right side
    3,163.64x = 47,246,505.84
  5. Step 5: Solve for x
    x = 47,246,505.84/3,163.64
  6. Step 6: Final answer
    x = 14,934.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.