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Finding the Third Proportional to 33,299.25 and 70,836

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Solution

The third proportional to 33,299.25 and 70,836 is: 150,686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,299.25 : 70,836 = 70,836 : x
  2. Step 2: Convert to fraction form
    33,299.25/70,836 = 70,836/x
  3. Step 3: Cross multiply
    33,299.25x = 70,836 × 70,836
  4. Step 4: Simplify right side
    33,299.25x = 5,017,738,896
  5. Step 5: Solve for x
    x = 5,017,738,896/33,299.25
  6. Step 6: Final answer
    x = 150,686.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.