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Finding the Third Proportional to 9,227.25 and 21,662.44

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Solution

The third proportional to 9,227.25 and 21,662.44 is: 50,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.25 : 21,662.44 = 21,662.44 : x
  2. Step 2: Convert to fraction form
    9,227.25/21,662.44 = 21,662.44/x
  3. Step 3: Cross multiply
    9,227.25x = 21,662.44 × 21,662.44
  4. Step 4: Simplify right side
    9,227.25x = 469,261,198.44
  5. Step 5: Solve for x
    x = 469,261,198.44/9,227.25
  6. Step 6: Final answer
    x = 50,856.02

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.