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Finding the Third Proportional to 2,834.75 and 4,255.25

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Solution

The third proportional to 2,834.75 and 4,255.25 is: 6,387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.75 : 4,255.25 = 4,255.25 : x
  2. Step 2: Convert to fraction form
    2,834.75/4,255.25 = 4,255.25/x
  3. Step 3: Cross multiply
    2,834.75x = 4,255.25 × 4,255.25
  4. Step 4: Simplify right side
    2,834.75x = 18,107,152.56
  5. Step 5: Solve for x
    x = 18,107,152.56/2,834.75
  6. Step 6: Final answer
    x = 6,387.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.