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Finding the Third Proportional to 22,242 and 48,857.50

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Solution

The third proportional to 22,242 and 48,857.50 is: 107,321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,242 : 48,857.50 = 48,857.50 : x
  2. Step 2: Convert to fraction form
    22,242/48,857.50 = 48,857.50/x
  3. Step 3: Cross multiply
    22,242x = 48,857.50 × 48,857.50
  4. Step 4: Simplify right side
    22,242x = 2,387,055,306.25
  5. Step 5: Solve for x
    x = 2,387,055,306.25/22,242
  6. Step 6: Final answer
    x = 107,321.97

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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.