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Finding the Third Proportional to 36,022 and 55,186

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Solution

The third proportional to 36,022 and 55,186 is: 84,545.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,022 : 55,186 = 55,186 : x
  2. Step 2: Convert to fraction form
    36,022/55,186 = 55,186/x
  3. Step 3: Cross multiply
    36,022x = 55,186 × 55,186
  4. Step 4: Simplify right side
    36,022x = 3,045,494,596
  5. Step 5: Solve for x
    x = 3,045,494,596/36,022
  6. Step 6: Final answer
    x = 84,545.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.