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Finding the Third Proportional to 36,773 and 55,149

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Solution

The third proportional to 36,773 and 55,149 is: 82,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,773 : 55,149 = 55,149 : x
  2. Step 2: Convert to fraction form
    36,773/55,149 = 55,149/x
  3. Step 3: Cross multiply
    36,773x = 55,149 × 55,149
  4. Step 4: Simplify right side
    36,773x = 3,041,412,201
  5. Step 5: Solve for x
    x = 3,041,412,201/36,773
  6. Step 6: Final answer
    x = 82,707.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.