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Finding the Third Proportional to 33,896 and 79,182

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Solution

The third proportional to 33,896 and 79,182 is: 184,971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,896 : 79,182 = 79,182 : x
  2. Step 2: Convert to fraction form
    33,896/79,182 = 79,182/x
  3. Step 3: Cross multiply
    33,896x = 79,182 × 79,182
  4. Step 4: Simplify right side
    33,896x = 6,269,789,124
  5. Step 5: Solve for x
    x = 6,269,789,124/33,896
  6. Step 6: Final answer
    x = 184,971.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.