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Finding the Third Proportional to 33,852 and 79,082

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Solution

The third proportional to 33,852 and 79,082 is: 184,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,852 : 79,082 = 79,082 : x
  2. Step 2: Convert to fraction form
    33,852/79,082 = 79,082/x
  3. Step 3: Cross multiply
    33,852x = 79,082 × 79,082
  4. Step 4: Simplify right side
    33,852x = 6,253,962,724
  5. Step 5: Solve for x
    x = 6,253,962,724/33,852
  6. Step 6: Final answer
    x = 184,744.26

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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.