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Finding the Third Proportional to 36,769 and 51,777

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Solution

The third proportional to 36,769 and 51,777 is: 72,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,769 : 51,777 = 51,777 : x
  2. Step 2: Convert to fraction form
    36,769/51,777 = 51,777/x
  3. Step 3: Cross multiply
    36,769x = 51,777 × 51,777
  4. Step 4: Simplify right side
    36,769x = 2,680,857,729
  5. Step 5: Solve for x
    x = 2,680,857,729/36,769
  6. Step 6: Final answer
    x = 72,910.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.