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Finding the Third Proportional to 2,200.45 and 4,892.85

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Solution

The third proportional to 2,200.45 and 4,892.85 is: 10,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.45 : 4,892.85 = 4,892.85 : x
  2. Step 2: Convert to fraction form
    2,200.45/4,892.85 = 4,892.85/x
  3. Step 3: Cross multiply
    2,200.45x = 4,892.85 × 4,892.85
  4. Step 4: Simplify right side
    2,200.45x = 23,940,015.53
  5. Step 5: Solve for x
    x = 23,940,015.53/2,200.45
  6. Step 6: Final answer
    x = 10,879.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.