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Finding the Third Proportional to 36,969.75 and 80,696.25

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Solution

The third proportional to 36,969.75 and 80,696.25 is: 176,140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,969.75 : 80,696.25 = 80,696.25 : x
  2. Step 2: Convert to fraction form
    36,969.75/80,696.25 = 80,696.25/x
  3. Step 3: Cross multiply
    36,969.75x = 80,696.25 × 80,696.25
  4. Step 4: Simplify right side
    36,969.75x = 6,511,884,764.06
  5. Step 5: Solve for x
    x = 6,511,884,764.06/36,969.75
  6. Step 6: Final answer
    x = 176,140.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.