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Finding the Third Proportional to 41,589 and 73,944

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Solution

The third proportional to 41,589 and 73,944 is: 131,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,589 : 73,944 = 73,944 : x
  2. Step 2: Convert to fraction form
    41,589/73,944 = 73,944/x
  3. Step 3: Cross multiply
    41,589x = 73,944 × 73,944
  4. Step 4: Simplify right side
    41,589x = 5,467,715,136
  5. Step 5: Solve for x
    x = 5,467,715,136/41,589
  6. Step 6: Final answer
    x = 131,470.22

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.