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Finding the Third Proportional to 22,542 and 33,817

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Solution

The third proportional to 22,542 and 33,817 is: 50,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,542 : 33,817 = 33,817 : x
  2. Step 2: Convert to fraction form
    22,542/33,817 = 33,817/x
  3. Step 3: Cross multiply
    22,542x = 33,817 × 33,817
  4. Step 4: Simplify right side
    22,542x = 1,143,589,489
  5. Step 5: Solve for x
    x = 1,143,589,489/22,542
  6. Step 6: Final answer
    x = 50,731.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.