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Finding the Third Proportional to 36,170 and 55,999

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Solution

The third proportional to 36,170 and 55,999 is: 86,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,170 : 55,999 = 55,999 : x
  2. Step 2: Convert to fraction form
    36,170/55,999 = 55,999/x
  3. Step 3: Cross multiply
    36,170x = 55,999 × 55,999
  4. Step 4: Simplify right side
    36,170x = 3,135,888,001
  5. Step 5: Solve for x
    x = 3,135,888,001/36,170
  6. Step 6: Final answer
    x = 86,698.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.