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Finding the Third Proportional to 23,401 and 50,800

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Solution

The third proportional to 23,401 and 50,800 is: 110,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,401 : 50,800 = 50,800 : x
  2. Step 2: Convert to fraction form
    23,401/50,800 = 50,800/x
  3. Step 3: Cross multiply
    23,401x = 50,800 × 50,800
  4. Step 4: Simplify right side
    23,401x = 2,580,640,000
  5. Step 5: Solve for x
    x = 2,580,640,000/23,401
  6. Step 6: Final answer
    x = 110,279.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.