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Finding the Third Proportional to 36,578 and 80,500

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Solution

The third proportional to 36,578 and 80,500 is: 177,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,578 : 80,500 = 80,500 : x
  2. Step 2: Convert to fraction form
    36,578/80,500 = 80,500/x
  3. Step 3: Cross multiply
    36,578x = 80,500 × 80,500
  4. Step 4: Simplify right side
    36,578x = 6,480,250,000
  5. Step 5: Solve for x
    x = 6,480,250,000/36,578
  6. Step 6: Final answer
    x = 177,162.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.