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Finding the Third Proportional to 27,072.25 and 40,608.38

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Solution

The third proportional to 27,072.25 and 40,608.38 is: 60,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,072.25 : 40,608.38 = 40,608.38 : x
  2. Step 2: Convert to fraction form
    27,072.25/40,608.38 = 40,608.38/x
  3. Step 3: Cross multiply
    27,072.25x = 40,608.38 × 40,608.38
  4. Step 4: Simplify right side
    27,072.25x = 1,649,040,120.14
  5. Step 5: Solve for x
    x = 1,649,040,120.14/27,072.25
  6. Step 6: Final answer
    x = 60,912.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.