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Finding the Third Proportional to 31,765.50 and 50,249.25

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Solution

The third proportional to 31,765.50 and 50,249.25 is: 79,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,765.50 : 50,249.25 = 50,249.25 : x
  2. Step 2: Convert to fraction form
    31,765.50/50,249.25 = 50,249.25/x
  3. Step 3: Cross multiply
    31,765.50x = 50,249.25 × 50,249.25
  4. Step 4: Simplify right side
    31,765.50x = 2,524,987,125.56
  5. Step 5: Solve for x
    x = 2,524,987,125.56/31,765.50
  6. Step 6: Final answer
    x = 79,488.35

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.