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Finding the Third Proportional to 36,669.75 and 55,086

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Solution

The third proportional to 36,669.75 and 55,086 is: 82,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,669.75 : 55,086 = 55,086 : x
  2. Step 2: Convert to fraction form
    36,669.75/55,086 = 55,086/x
  3. Step 3: Cross multiply
    36,669.75x = 55,086 × 55,086
  4. Step 4: Simplify right side
    36,669.75x = 3,034,467,396
  5. Step 5: Solve for x
    x = 3,034,467,396/36,669.75
  6. Step 6: Final answer
    x = 82,751.24

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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.