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Finding the Third Proportional to 33,202 and 71,938

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Solution

The third proportional to 33,202 and 71,938 is: 155,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,202 : 71,938 = 71,938 : x
  2. Step 2: Convert to fraction form
    33,202/71,938 = 71,938/x
  3. Step 3: Cross multiply
    33,202x = 71,938 × 71,938
  4. Step 4: Simplify right side
    33,202x = 5,175,075,844
  5. Step 5: Solve for x
    x = 5,175,075,844/33,202
  6. Step 6: Final answer
    x = 155,866.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.