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Finding the Third Proportional to 33,044 and 72,622

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Solution

The third proportional to 33,044 and 72,622 is: 159,604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,044 : 72,622 = 72,622 : x
  2. Step 2: Convert to fraction form
    33,044/72,622 = 72,622/x
  3. Step 3: Cross multiply
    33,044x = 72,622 × 72,622
  4. Step 4: Simplify right side
    33,044x = 5,273,954,884
  5. Step 5: Solve for x
    x = 5,273,954,884/33,044
  6. Step 6: Final answer
    x = 159,604.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.