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Finding the Third Proportional to 2,241.11 and 2,446.14

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Solution

The third proportional to 2,241.11 and 2,446.14 is: 2,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.11 : 2,446.14 = 2,446.14 : x
  2. Step 2: Convert to fraction form
    2,241.11/2,446.14 = 2,446.14/x
  3. Step 3: Cross multiply
    2,241.11x = 2,446.14 × 2,446.14
  4. Step 4: Simplify right side
    2,241.11x = 5,983,584.85
  5. Step 5: Solve for x
    x = 5,983,584.85/2,241.11
  6. Step 6: Final answer
    x = 2,669.93

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.