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Finding the Third Proportional to 2,217.75 and 3,479.25

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Solution

The third proportional to 2,217.75 and 3,479.25 is: 5,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.75 : 3,479.25 = 3,479.25 : x
  2. Step 2: Convert to fraction form
    2,217.75/3,479.25 = 3,479.25/x
  3. Step 3: Cross multiply
    2,217.75x = 3,479.25 × 3,479.25
  4. Step 4: Simplify right side
    2,217.75x = 12,105,180.56
  5. Step 5: Solve for x
    x = 12,105,180.56/2,217.75
  6. Step 6: Final answer
    x = 5,458.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.