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Finding the Third Proportional to 22,491 and 33,612.75

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Solution

The third proportional to 22,491 and 33,612.75 is: 50,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,491 : 33,612.75 = 33,612.75 : x
  2. Step 2: Convert to fraction form
    22,491/33,612.75 = 33,612.75/x
  3. Step 3: Cross multiply
    22,491x = 33,612.75 × 33,612.75
  4. Step 4: Simplify right side
    22,491x = 1,129,816,962.56
  5. Step 5: Solve for x
    x = 1,129,816,962.56/22,491
  6. Step 6: Final answer
    x = 50,234.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.