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Finding the Third Proportional to 38,792 and 80,011

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Solution

The third proportional to 38,792 and 80,011 is: 165,027.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,792 : 80,011 = 80,011 : x
  2. Step 2: Convert to fraction form
    38,792/80,011 = 80,011/x
  3. Step 3: Cross multiply
    38,792x = 80,011 × 80,011
  4. Step 4: Simplify right side
    38,792x = 6,401,760,121
  5. Step 5: Solve for x
    x = 6,401,760,121/38,792
  6. Step 6: Final answer
    x = 165,027.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.