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Finding the Third Proportional to 2,266.75 and 3,467.75

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Solution

The third proportional to 2,266.75 and 3,467.75 is: 5,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.75 : 3,467.75 = 3,467.75 : x
  2. Step 2: Convert to fraction form
    2,266.75/3,467.75 = 3,467.75/x
  3. Step 3: Cross multiply
    2,266.75x = 3,467.75 × 3,467.75
  4. Step 4: Simplify right side
    2,266.75x = 12,025,290.06
  5. Step 5: Solve for x
    x = 12,025,290.06/2,266.75
  6. Step 6: Final answer
    x = 5,305.08

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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.