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Finding the Third Proportional to 36,601 and 79,896

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Solution

The third proportional to 36,601 and 79,896 is: 174,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,601 : 79,896 = 79,896 : x
  2. Step 2: Convert to fraction form
    36,601/79,896 = 79,896/x
  3. Step 3: Cross multiply
    36,601x = 79,896 × 79,896
  4. Step 4: Simplify right side
    36,601x = 6,383,370,816
  5. Step 5: Solve for x
    x = 6,383,370,816/36,601
  6. Step 6: Final answer
    x = 174,404.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.