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Finding the Third Proportional to 38,244.38 and 53,760.38

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Solution

The third proportional to 38,244.38 and 53,760.38 is: 75,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,244.38 : 53,760.38 = 53,760.38 : x
  2. Step 2: Convert to fraction form
    38,244.38/53,760.38 = 53,760.38/x
  3. Step 3: Cross multiply
    38,244.38x = 53,760.38 × 53,760.38
  4. Step 4: Simplify right side
    38,244.38x = 2,890,177,920.14
  5. Step 5: Solve for x
    x = 2,890,177,920.14/38,244.38
  6. Step 6: Final answer
    x = 75,571.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.