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Finding the Third Proportional to 33,133.50 and 36,234

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Solution

The third proportional to 33,133.50 and 36,234 is: 39,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,133.50 : 36,234 = 36,234 : x
  2. Step 2: Convert to fraction form
    33,133.50/36,234 = 36,234/x
  3. Step 3: Cross multiply
    33,133.50x = 36,234 × 36,234
  4. Step 4: Simplify right side
    33,133.50x = 1,312,902,756
  5. Step 5: Solve for x
    x = 1,312,902,756/33,133.50
  6. Step 6: Final answer
    x = 39,624.63

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.