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Finding the Third Proportional to 3,974.06 and 8,672.06

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Solution

The third proportional to 3,974.06 and 8,672.06 is: 18,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.06 : 8,672.06 = 8,672.06 : x
  2. Step 2: Convert to fraction form
    3,974.06/8,672.06 = 8,672.06/x
  3. Step 3: Cross multiply
    3,974.06x = 8,672.06 × 8,672.06
  4. Step 4: Simplify right side
    3,974.06x = 75,204,668.00
  5. Step 5: Solve for x
    x = 75,204,668.00/3,974.06
  6. Step 6: Final answer
    x = 18,923.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.