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Finding the Third Proportional to 33,646 and 52,021

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Solution

The third proportional to 33,646 and 52,021 is: 80,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,646 : 52,021 = 52,021 : x
  2. Step 2: Convert to fraction form
    33,646/52,021 = 52,021/x
  3. Step 3: Cross multiply
    33,646x = 52,021 × 52,021
  4. Step 4: Simplify right side
    33,646x = 2,706,184,441
  5. Step 5: Solve for x
    x = 2,706,184,441/33,646
  6. Step 6: Final answer
    x = 80,431.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.