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Finding the Third Proportional to 36,975.75 and 80,986.88

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Solution

The third proportional to 36,975.75 and 80,986.88 is: 177,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,975.75 : 80,986.88 = 80,986.88 : x
  2. Step 2: Convert to fraction form
    36,975.75/80,986.88 = 80,986.88/x
  3. Step 3: Cross multiply
    36,975.75x = 80,986.88 × 80,986.88
  4. Step 4: Simplify right side
    36,975.75x = 6,558,873,922.27
  5. Step 5: Solve for x
    x = 6,558,873,922.27/36,975.75
  6. Step 6: Final answer
    x = 177,383.12

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Why These Related Problems?

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