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Finding the Third Proportional to 33,539 and 71,075

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Solution

The third proportional to 33,539 and 71,075 is: 150,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,539 : 71,075 = 71,075 : x
  2. Step 2: Convert to fraction form
    33,539/71,075 = 71,075/x
  3. Step 3: Cross multiply
    33,539x = 71,075 × 71,075
  4. Step 4: Simplify right side
    33,539x = 5,051,655,625
  5. Step 5: Solve for x
    x = 5,051,655,625/33,539
  6. Step 6: Final answer
    x = 150,620.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.