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Finding the Third Proportional to 22,491 and 33,633

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Solution

The third proportional to 22,491 and 33,633 is: 50,294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,491 : 33,633 = 33,633 : x
  2. Step 2: Convert to fraction form
    22,491/33,633 = 33,633/x
  3. Step 3: Cross multiply
    22,491x = 33,633 × 33,633
  4. Step 4: Simplify right side
    22,491x = 1,131,178,689
  5. Step 5: Solve for x
    x = 1,131,178,689/22,491
  6. Step 6: Final answer
    x = 50,294.73

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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.