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Finding the Third Proportional to 33,024 and 81,444

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Solution

The third proportional to 33,024 and 81,444 is: 200,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,024 : 81,444 = 81,444 : x
  2. Step 2: Convert to fraction form
    33,024/81,444 = 81,444/x
  3. Step 3: Cross multiply
    33,024x = 81,444 × 81,444
  4. Step 4: Simplify right side
    33,024x = 6,633,125,136
  5. Step 5: Solve for x
    x = 6,633,125,136/33,024
  6. Step 6: Final answer
    x = 200,857.71

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.