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Finding the Third Proportional to 38,271 and 82,401

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Solution

The third proportional to 38,271 and 82,401 is: 177,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,271 : 82,401 = 82,401 : x
  2. Step 2: Convert to fraction form
    38,271/82,401 = 82,401/x
  3. Step 3: Cross multiply
    38,271x = 82,401 × 82,401
  4. Step 4: Simplify right side
    38,271x = 6,789,924,801
  5. Step 5: Solve for x
    x = 6,789,924,801/38,271
  6. Step 6: Final answer
    x = 177,416.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.