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Finding the Third Proportional to 22,561 and 49,622

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Solution

The third proportional to 22,561 and 49,622 is: 109,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,561 : 49,622 = 49,622 : x
  2. Step 2: Convert to fraction form
    22,561/49,622 = 49,622/x
  3. Step 3: Cross multiply
    22,561x = 49,622 × 49,622
  4. Step 4: Simplify right side
    22,561x = 2,462,342,884
  5. Step 5: Solve for x
    x = 2,462,342,884/22,561
  6. Step 6: Final answer
    x = 109,141.57

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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.