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Finding the Third Proportional to 36,843.19 and 80,431.31

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Solution

The third proportional to 36,843.19 and 80,431.31 is: 175,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,843.19 : 80,431.31 = 80,431.31 : x
  2. Step 2: Convert to fraction form
    36,843.19/80,431.31 = 80,431.31/x
  3. Step 3: Cross multiply
    36,843.19x = 80,431.31 × 80,431.31
  4. Step 4: Simplify right side
    36,843.19x = 6,469,196,030.47
  5. Step 5: Solve for x
    x = 6,469,196,030.47/36,843.19
  6. Step 6: Final answer
    x = 175,587.31

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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.