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Finding the Third Proportional to 8,201.25 and 18,012.38

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Solution

The third proportional to 8,201.25 and 18,012.38 is: 39,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.25 : 18,012.38 = 18,012.38 : x
  2. Step 2: Convert to fraction form
    8,201.25/18,012.38 = 18,012.38/x
  3. Step 3: Cross multiply
    8,201.25x = 18,012.38 × 18,012.38
  4. Step 4: Simplify right side
    8,201.25x = 324,445,653.14
  5. Step 5: Solve for x
    x = 324,445,653.14/8,201.25
  6. Step 6: Final answer
    x = 39,560.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.