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Finding the Third Proportional to 2,676.94 and 3,223.69

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Solution

The third proportional to 2,676.94 and 3,223.69 is: 3,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.94 : 3,223.69 = 3,223.69 : x
  2. Step 2: Convert to fraction form
    2,676.94/3,223.69 = 3,223.69/x
  3. Step 3: Cross multiply
    2,676.94x = 3,223.69 × 3,223.69
  4. Step 4: Simplify right side
    2,676.94x = 10,392,161.10
  5. Step 5: Solve for x
    x = 10,392,161.10/2,676.94
  6. Step 6: Final answer
    x = 3,882.11

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.