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Finding the Third Proportional to 36,947.81 and 81,043.88

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Solution

The third proportional to 36,947.81 and 81,043.88 is: 177,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,947.81 : 81,043.88 = 81,043.88 : x
  2. Step 2: Convert to fraction form
    36,947.81/81,043.88 = 81,043.88/x
  3. Step 3: Cross multiply
    36,947.81x = 81,043.88 × 81,043.88
  4. Step 4: Simplify right side
    36,947.81x = 6,568,109,675.02
  5. Step 5: Solve for x
    x = 6,568,109,675.02/36,947.81
  6. Step 6: Final answer
    x = 177,767.21

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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.