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Finding the Third Proportional to 36,170 and 55,998

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Solution

The third proportional to 36,170 and 55,998 is: 86,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,170 : 55,998 = 55,998 : x
  2. Step 2: Convert to fraction form
    36,170/55,998 = 55,998/x
  3. Step 3: Cross multiply
    36,170x = 55,998 × 55,998
  4. Step 4: Simplify right side
    36,170x = 3,135,776,004
  5. Step 5: Solve for x
    x = 3,135,776,004/36,170
  6. Step 6: Final answer
    x = 86,695.49

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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.