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Finding the Third Proportional to 36,867 and 40,760

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Solution

The third proportional to 36,867 and 40,760 is: 45,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,867 : 40,760 = 40,760 : x
  2. Step 2: Convert to fraction form
    36,867/40,760 = 40,760/x
  3. Step 3: Cross multiply
    36,867x = 40,760 × 40,760
  4. Step 4: Simplify right side
    36,867x = 1,661,377,600
  5. Step 5: Solve for x
    x = 1,661,377,600/36,867
  6. Step 6: Final answer
    x = 45,064.08

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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.