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Finding the Third Proportional to 2,055.75 and 4,197.56

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Solution

The third proportional to 2,055.75 and 4,197.56 is: 8,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.75 : 4,197.56 = 4,197.56 : x
  2. Step 2: Convert to fraction form
    2,055.75/4,197.56 = 4,197.56/x
  3. Step 3: Cross multiply
    2,055.75x = 4,197.56 × 4,197.56
  4. Step 4: Simplify right side
    2,055.75x = 17,619,530.94
  5. Step 5: Solve for x
    x = 17,619,530.94/2,055.75
  6. Step 6: Final answer
    x = 8,570.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.