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Finding the Third Proportional to 22,075 and 33,203

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Solution

The third proportional to 22,075 and 33,203 is: 49,940.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,075 : 33,203 = 33,203 : x
  2. Step 2: Convert to fraction form
    22,075/33,203 = 33,203/x
  3. Step 3: Cross multiply
    22,075x = 33,203 × 33,203
  4. Step 4: Simplify right side
    22,075x = 1,102,439,209
  5. Step 5: Solve for x
    x = 1,102,439,209/22,075
  6. Step 6: Final answer
    x = 49,940.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.