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Finding the Third Proportional to 33,162 and 73,398

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Solution

The third proportional to 33,162 and 73,398 is: 162,453.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,162 : 73,398 = 73,398 : x
  2. Step 2: Convert to fraction form
    33,162/73,398 = 73,398/x
  3. Step 3: Cross multiply
    33,162x = 73,398 × 73,398
  4. Step 4: Simplify right side
    33,162x = 5,387,266,404
  5. Step 5: Solve for x
    x = 5,387,266,404/33,162
  6. Step 6: Final answer
    x = 162,453.00

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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.