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Finding the Third Proportional to 36,171 and 52,843

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Solution

The third proportional to 36,171 and 52,843 is: 77,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,171 : 52,843 = 52,843 : x
  2. Step 2: Convert to fraction form
    36,171/52,843 = 52,843/x
  3. Step 3: Cross multiply
    36,171x = 52,843 × 52,843
  4. Step 4: Simplify right side
    36,171x = 2,792,382,649
  5. Step 5: Solve for x
    x = 2,792,382,649/36,171
  6. Step 6: Final answer
    x = 77,199.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.