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Finding the Third Proportional to 36,632.25 and 80,277.33

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Solution

The third proportional to 36,632.25 and 80,277.33 is: 175,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,632.25 : 80,277.33 = 80,277.33 : x
  2. Step 2: Convert to fraction form
    36,632.25/80,277.33 = 80,277.33/x
  3. Step 3: Cross multiply
    36,632.25x = 80,277.33 × 80,277.33
  4. Step 4: Simplify right side
    36,632.25x = 6,444,449,410.89
  5. Step 5: Solve for x
    x = 6,444,449,410.89/36,632.25
  6. Step 6: Final answer
    x = 175,922.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.