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Finding the Third Proportional to 36,678 and 54,351

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Solution

The third proportional to 36,678 and 54,351 is: 80,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,678 : 54,351 = 54,351 : x
  2. Step 2: Convert to fraction form
    36,678/54,351 = 54,351/x
  3. Step 3: Cross multiply
    36,678x = 54,351 × 54,351
  4. Step 4: Simplify right side
    36,678x = 2,954,031,201
  5. Step 5: Solve for x
    x = 2,954,031,201/36,678
  6. Step 6: Final answer
    x = 80,539.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.