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Finding the Third Proportional to 33,006 and 43,767

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Solution

The third proportional to 33,006 and 43,767 is: 58,036.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006 : 43,767 = 43,767 : x
  2. Step 2: Convert to fraction form
    33,006/43,767 = 43,767/x
  3. Step 3: Cross multiply
    33,006x = 43,767 × 43,767
  4. Step 4: Simplify right side
    33,006x = 1,915,550,289
  5. Step 5: Solve for x
    x = 1,915,550,289/33,006
  6. Step 6: Final answer
    x = 58,036.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.