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Finding the Third Proportional to 22,750 and 50,000

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Solution

The third proportional to 22,750 and 50,000 is: 109,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,750 : 50,000 = 50,000 : x
  2. Step 2: Convert to fraction form
    22,750/50,000 = 50,000/x
  3. Step 3: Cross multiply
    22,750x = 50,000 × 50,000
  4. Step 4: Simplify right side
    22,750x = 2,500,000,000
  5. Step 5: Solve for x
    x = 2,500,000,000/22,750
  6. Step 6: Final answer
    x = 109,890.11

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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.