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Finding the Third Proportional to 36,384 and 54,351

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Solution

The third proportional to 36,384 and 54,351 is: 81,190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,384 : 54,351 = 54,351 : x
  2. Step 2: Convert to fraction form
    36,384/54,351 = 54,351/x
  3. Step 3: Cross multiply
    36,384x = 54,351 × 54,351
  4. Step 4: Simplify right side
    36,384x = 2,954,031,201
  5. Step 5: Solve for x
    x = 2,954,031,201/36,384
  6. Step 6: Final answer
    x = 81,190.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.