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Finding the Third Proportional to 36,647 and 80,327

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Solution

The third proportional to 36,647 and 80,327 is: 176,069.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,647 : 80,327 = 80,327 : x
  2. Step 2: Convert to fraction form
    36,647/80,327 = 80,327/x
  3. Step 3: Cross multiply
    36,647x = 80,327 × 80,327
  4. Step 4: Simplify right side
    36,647x = 6,452,426,929
  5. Step 5: Solve for x
    x = 6,452,426,929/36,647
  6. Step 6: Final answer
    x = 176,069.72

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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.