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Finding the Third Proportional to 33,223.50 and 36,504

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Solution

The third proportional to 33,223.50 and 36,504 is: 40,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,223.50 : 36,504 = 36,504 : x
  2. Step 2: Convert to fraction form
    33,223.50/36,504 = 36,504/x
  3. Step 3: Cross multiply
    33,223.50x = 36,504 × 36,504
  4. Step 4: Simplify right side
    33,223.50x = 1,332,542,016
  5. Step 5: Solve for x
    x = 1,332,542,016/33,223.50
  6. Step 6: Final answer
    x = 40,108.42

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.