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Finding the Third Proportional to 38,508 and 80,040

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Solution

The third proportional to 38,508 and 80,040 is: 166,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508 : 80,040 = 80,040 : x
  2. Step 2: Convert to fraction form
    38,508/80,040 = 80,040/x
  3. Step 3: Cross multiply
    38,508x = 80,040 × 80,040
  4. Step 4: Simplify right side
    38,508x = 6,406,401,600
  5. Step 5: Solve for x
    x = 6,406,401,600/38,508
  6. Step 6: Final answer
    x = 166,365.47

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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.