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Finding the Third Proportional to 2,279.55 and 3,453.26

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Solution

The third proportional to 2,279.55 and 3,453.26 is: 5,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.55 : 3,453.26 = 3,453.26 : x
  2. Step 2: Convert to fraction form
    2,279.55/3,453.26 = 3,453.26/x
  3. Step 3: Cross multiply
    2,279.55x = 3,453.26 × 3,453.26
  4. Step 4: Simplify right side
    2,279.55x = 11,924,989.52
  5. Step 5: Solve for x
    x = 11,924,989.52/2,279.55
  6. Step 6: Final answer
    x = 5,231.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.