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Finding the Third Proportional to 36,500.75 and 40,340.75

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Solution

The third proportional to 36,500.75 and 40,340.75 is: 44,584.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,500.75 : 40,340.75 = 40,340.75 : x
  2. Step 2: Convert to fraction form
    36,500.75/40,340.75 = 40,340.75/x
  3. Step 3: Cross multiply
    36,500.75x = 40,340.75 × 40,340.75
  4. Step 4: Simplify right side
    36,500.75x = 1,627,376,110.56
  5. Step 5: Solve for x
    x = 1,627,376,110.56/36,500.75
  6. Step 6: Final answer
    x = 44,584.73

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.