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Finding the Third Proportional to 5,348.44 and 11,629.31

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Solution

The third proportional to 5,348.44 and 11,629.31 is: 25,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.44 : 11,629.31 = 11,629.31 : x
  2. Step 2: Convert to fraction form
    5,348.44/11,629.31 = 11,629.31/x
  3. Step 3: Cross multiply
    5,348.44x = 11,629.31 × 11,629.31
  4. Step 4: Simplify right side
    5,348.44x = 135,240,909.22
  5. Step 5: Solve for x
    x = 135,240,909.22/5,348.44
  6. Step 6: Final answer
    x = 25,286.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.