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Finding the Third Proportional to 18,481.50 and 30,874.50

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Solution

The third proportional to 18,481.50 and 30,874.50 is: 51,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,481.50 : 30,874.50 = 30,874.50 : x
  2. Step 2: Convert to fraction form
    18,481.50/30,874.50 = 30,874.50/x
  3. Step 3: Cross multiply
    18,481.50x = 30,874.50 × 30,874.50
  4. Step 4: Simplify right side
    18,481.50x = 953,234,750.25
  5. Step 5: Solve for x
    x = 953,234,750.25/18,481.50
  6. Step 6: Final answer
    x = 51,577.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.