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Finding the Third Proportional to 36,954.56 and 80,994.94

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Solution

The third proportional to 36,954.56 and 80,994.94 is: 177,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,954.56 : 80,994.94 = 80,994.94 : x
  2. Step 2: Convert to fraction form
    36,954.56/80,994.94 = 80,994.94/x
  3. Step 3: Cross multiply
    36,954.56x = 80,994.94 × 80,994.94
  4. Step 4: Simplify right side
    36,954.56x = 6,560,179,900.63
  5. Step 5: Solve for x
    x = 6,560,179,900.63/36,954.56
  6. Step 6: Final answer
    x = 177,520.16

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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.