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Finding the Third Proportional to 22,200 and 48,775

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Solution

The third proportional to 22,200 and 48,775 is: 107,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200 : 48,775 = 48,775 : x
  2. Step 2: Convert to fraction form
    22,200/48,775 = 48,775/x
  3. Step 3: Cross multiply
    22,200x = 48,775 × 48,775
  4. Step 4: Simplify right side
    22,200x = 2,379,000,625
  5. Step 5: Solve for x
    x = 2,379,000,625/22,200
  6. Step 6: Final answer
    x = 107,162.19

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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.