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Finding the Third Proportional to 4,074.75 and 4,452.75

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Solution

The third proportional to 4,074.75 and 4,452.75 is: 4,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.75 : 4,452.75 = 4,452.75 : x
  2. Step 2: Convert to fraction form
    4,074.75/4,452.75 = 4,452.75/x
  3. Step 3: Cross multiply
    4,074.75x = 4,452.75 × 4,452.75
  4. Step 4: Simplify right side
    4,074.75x = 19,826,982.56
  5. Step 5: Solve for x
    x = 19,826,982.56/4,074.75
  6. Step 6: Final answer
    x = 4,865.82

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.