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Finding the Third Proportional to 2,218.22 and 4,811.34

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Solution

The third proportional to 2,218.22 and 4,811.34 is: 10,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.22 : 4,811.34 = 4,811.34 : x
  2. Step 2: Convert to fraction form
    2,218.22/4,811.34 = 4,811.34/x
  3. Step 3: Cross multiply
    2,218.22x = 4,811.34 × 4,811.34
  4. Step 4: Simplify right side
    2,218.22x = 23,149,028.68
  5. Step 5: Solve for x
    x = 23,149,028.68/2,218.22
  6. Step 6: Final answer
    x = 10,435.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.