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Finding the Third Proportional to 38,493 and 80,009

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Solution

The third proportional to 38,493 and 80,009 is: 166,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,493 : 80,009 = 80,009 : x
  2. Step 2: Convert to fraction form
    38,493/80,009 = 80,009/x
  3. Step 3: Cross multiply
    38,493x = 80,009 × 80,009
  4. Step 4: Simplify right side
    38,493x = 6,401,440,081
  5. Step 5: Solve for x
    x = 6,401,440,081/38,493
  6. Step 6: Final answer
    x = 166,301.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.