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Finding the Third Proportional to 38,940.75 and 53,589.09

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Solution

The third proportional to 38,940.75 and 53,589.09 is: 73,747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,940.75 : 53,589.09 = 53,589.09 : x
  2. Step 2: Convert to fraction form
    38,940.75/53,589.09 = 53,589.09/x
  3. Step 3: Cross multiply
    38,940.75x = 53,589.09 × 53,589.09
  4. Step 4: Simplify right side
    38,940.75x = 2,871,790,968.95
  5. Step 5: Solve for x
    x = 2,871,790,968.95/38,940.75
  6. Step 6: Final answer
    x = 73,747.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.