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Finding the Third Proportional to 37,879 and 79,676

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Solution

The third proportional to 37,879 and 79,676 is: 167,593.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,879 : 79,676 = 79,676 : x
  2. Step 2: Convert to fraction form
    37,879/79,676 = 79,676/x
  3. Step 3: Cross multiply
    37,879x = 79,676 × 79,676
  4. Step 4: Simplify right side
    37,879x = 6,348,264,976
  5. Step 5: Solve for x
    x = 6,348,264,976/37,879
  6. Step 6: Final answer
    x = 167,593.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.