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Finding the Third Proportional to 36,536 and 79,836

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Solution

The third proportional to 36,536 and 79,836 is: 174,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,536 : 79,836 = 79,836 : x
  2. Step 2: Convert to fraction form
    36,536/79,836 = 79,836/x
  3. Step 3: Cross multiply
    36,536x = 79,836 × 79,836
  4. Step 4: Simplify right side
    36,536x = 6,373,786,896
  5. Step 5: Solve for x
    x = 6,373,786,896/36,536
  6. Step 6: Final answer
    x = 174,452.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.