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Finding the Third Proportional to 9,201.73 and 11,229.26

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Solution

The third proportional to 9,201.73 and 11,229.26 is: 13,703.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.73 : 11,229.26 = 11,229.26 : x
  2. Step 2: Convert to fraction form
    9,201.73/11,229.26 = 11,229.26/x
  3. Step 3: Cross multiply
    9,201.73x = 11,229.26 × 11,229.26
  4. Step 4: Simplify right side
    9,201.73x = 126,096,231.02
  5. Step 5: Solve for x
    x = 126,096,231.02/9,201.73
  6. Step 6: Final answer
    x = 13,703.54

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.