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Finding the Third Proportional to 22,573 and 49,817

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Solution

The third proportional to 22,573 and 49,817 is: 109,942.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,573 : 49,817 = 49,817 : x
  2. Step 2: Convert to fraction form
    22,573/49,817 = 49,817/x
  3. Step 3: Cross multiply
    22,573x = 49,817 × 49,817
  4. Step 4: Simplify right side
    22,573x = 2,481,733,489
  5. Step 5: Solve for x
    x = 2,481,733,489/22,573
  6. Step 6: Final answer
    x = 109,942.56

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.