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Finding the Third Proportional to 38,535.75 and 52,791.75

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Solution

The third proportional to 38,535.75 and 52,791.75 is: 72,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,535.75 : 52,791.75 = 52,791.75 : x
  2. Step 2: Convert to fraction form
    38,535.75/52,791.75 = 52,791.75/x
  3. Step 3: Cross multiply
    38,535.75x = 52,791.75 × 52,791.75
  4. Step 4: Simplify right side
    38,535.75x = 2,786,968,868.06
  5. Step 5: Solve for x
    x = 2,786,968,868.06/38,535.75
  6. Step 6: Final answer
    x = 72,321.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.