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Finding the Third Proportional to 22,801 and 50,204.50

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Solution

The third proportional to 22,801 and 50,204.50 is: 110,543.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801 : 50,204.50 = 50,204.50 : x
  2. Step 2: Convert to fraction form
    22,801/50,204.50 = 50,204.50/x
  3. Step 3: Cross multiply
    22,801x = 50,204.50 × 50,204.50
  4. Step 4: Simplify right side
    22,801x = 2,520,491,820.25
  5. Step 5: Solve for x
    x = 2,520,491,820.25/22,801
  6. Step 6: Final answer
    x = 110,543.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.