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Finding the Third Proportional to 36,896 and 80,884

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Solution

The third proportional to 36,896 and 80,884 is: 177,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,896 : 80,884 = 80,884 : x
  2. Step 2: Convert to fraction form
    36,896/80,884 = 80,884/x
  3. Step 3: Cross multiply
    36,896x = 80,884 × 80,884
  4. Step 4: Simplify right side
    36,896x = 6,542,221,456
  5. Step 5: Solve for x
    x = 6,542,221,456/36,896
  6. Step 6: Final answer
    x = 177,315.20

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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.