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Finding the Third Proportional to 11,177 and 23,272.25

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Solution

The third proportional to 11,177 and 23,272.25 is: 48,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177 : 23,272.25 = 23,272.25 : x
  2. Step 2: Convert to fraction form
    11,177/23,272.25 = 23,272.25/x
  3. Step 3: Cross multiply
    11,177x = 23,272.25 × 23,272.25
  4. Step 4: Simplify right side
    11,177x = 541,597,620.06
  5. Step 5: Solve for x
    x = 541,597,620.06/11,177
  6. Step 6: Final answer
    x = 48,456.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.