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Finding the Third Proportional to 33,163.17 and 71,579.95

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Solution

The third proportional to 33,163.17 and 71,579.95 is: 154,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,163.17 : 71,579.95 = 71,579.95 : x
  2. Step 2: Convert to fraction form
    33,163.17/71,579.95 = 71,579.95/x
  3. Step 3: Cross multiply
    33,163.17x = 71,579.95 × 71,579.95
  4. Step 4: Simplify right side
    33,163.17x = 5,123,689,689.38
  5. Step 5: Solve for x
    x = 5,123,689,689.38/33,163.17
  6. Step 6: Final answer
    x = 154,499.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.