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Finding the Third Proportional to 41,919.75 and 54,450.56

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Solution

The third proportional to 41,919.75 and 54,450.56 is: 70,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,919.75 : 54,450.56 = 54,450.56 : x
  2. Step 2: Convert to fraction form
    41,919.75/54,450.56 = 54,450.56/x
  3. Step 3: Cross multiply
    41,919.75x = 54,450.56 × 54,450.56
  4. Step 4: Simplify right side
    41,919.75x = 2,964,863,756.57
  5. Step 5: Solve for x
    x = 2,964,863,756.57/41,919.75
  6. Step 6: Final answer
    x = 70,727.13

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.