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Finding the Third Proportional to 36,806 and 79,834

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Solution

The third proportional to 36,806 and 79,834 is: 173,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,806 : 79,834 = 79,834 : x
  2. Step 2: Convert to fraction form
    36,806/79,834 = 79,834/x
  3. Step 3: Cross multiply
    36,806x = 79,834 × 79,834
  4. Step 4: Simplify right side
    36,806x = 6,373,467,556
  5. Step 5: Solve for x
    x = 6,373,467,556/36,806
  6. Step 6: Final answer
    x = 173,163.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.