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Finding the Third Proportional to 18,202.22 and 24,267.73

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Solution

The third proportional to 18,202.22 and 24,267.73 is: 32,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,202.22 : 24,267.73 = 24,267.73 : x
  2. Step 2: Convert to fraction form
    18,202.22/24,267.73 = 24,267.73/x
  3. Step 3: Cross multiply
    18,202.22x = 24,267.73 × 24,267.73
  4. Step 4: Simplify right side
    18,202.22x = 588,922,552.51
  5. Step 5: Solve for x
    x = 588,922,552.51/18,202.22
  6. Step 6: Final answer
    x = 32,354.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.