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Finding the Third Proportional to 36,611 and 79,936

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Solution

The third proportional to 36,611 and 79,936 is: 174,531.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,611 : 79,936 = 79,936 : x
  2. Step 2: Convert to fraction form
    36,611/79,936 = 79,936/x
  3. Step 3: Cross multiply
    36,611x = 79,936 × 79,936
  4. Step 4: Simplify right side
    36,611x = 6,389,764,096
  5. Step 5: Solve for x
    x = 6,389,764,096/36,611
  6. Step 6: Final answer
    x = 174,531.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.