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Finding the Third Proportional to 16,738 and 36,393

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Solution

The third proportional to 16,738 and 36,393 is: 79,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738 : 36,393 = 36,393 : x
  2. Step 2: Convert to fraction form
    16,738/36,393 = 36,393/x
  3. Step 3: Cross multiply
    16,738x = 36,393 × 36,393
  4. Step 4: Simplify right side
    16,738x = 1,324,450,449
  5. Step 5: Solve for x
    x = 1,324,450,449/16,738
  6. Step 6: Final answer
    x = 79,128.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.