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Finding the Third Proportional to 2,076.05 and 3,213.84

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Solution

The third proportional to 2,076.05 and 3,213.84 is: 4,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.05 : 3,213.84 = 3,213.84 : x
  2. Step 2: Convert to fraction form
    2,076.05/3,213.84 = 3,213.84/x
  3. Step 3: Cross multiply
    2,076.05x = 3,213.84 × 3,213.84
  4. Step 4: Simplify right side
    2,076.05x = 10,328,791.65
  5. Step 5: Solve for x
    x = 10,328,791.65/2,076.05
  6. Step 6: Final answer
    x = 4,975.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.