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Finding the Third Proportional to 2,217.75 and 3,083.63

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Solution

The third proportional to 2,217.75 and 3,083.63 is: 4,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.75 : 3,083.63 = 3,083.63 : x
  2. Step 2: Convert to fraction form
    2,217.75/3,083.63 = 3,083.63/x
  3. Step 3: Cross multiply
    2,217.75x = 3,083.63 × 3,083.63
  4. Step 4: Simplify right side
    2,217.75x = 9,508,743.14
  5. Step 5: Solve for x
    x = 9,508,743.14/2,217.75
  6. Step 6: Final answer
    x = 4,287.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.