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Finding the Third Proportional to 2,266.73 and 3,467.39

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Solution

The third proportional to 2,266.73 and 3,467.39 is: 5,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.73 : 3,467.39 = 3,467.39 : x
  2. Step 2: Convert to fraction form
    2,266.73/3,467.39 = 3,467.39/x
  3. Step 3: Cross multiply
    2,266.73x = 3,467.39 × 3,467.39
  4. Step 4: Simplify right side
    2,266.73x = 12,022,797.75
  5. Step 5: Solve for x
    x = 12,022,797.75/2,266.73
  6. Step 6: Final answer
    x = 5,304.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.