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Finding the Third Proportional to 33,582 and 73,622

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Solution

The third proportional to 33,582 and 73,622 is: 161,401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,582 : 73,622 = 73,622 : x
  2. Step 2: Convert to fraction form
    33,582/73,622 = 73,622/x
  3. Step 3: Cross multiply
    33,582x = 73,622 × 73,622
  4. Step 4: Simplify right side
    33,582x = 5,420,198,884
  5. Step 5: Solve for x
    x = 5,420,198,884/33,582
  6. Step 6: Final answer
    x = 161,401.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.