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Finding the Third Proportional to 2,227.50 and 5,037.19

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Solution

The third proportional to 2,227.50 and 5,037.19 is: 11,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.50 : 5,037.19 = 5,037.19 : x
  2. Step 2: Convert to fraction form
    2,227.50/5,037.19 = 5,037.19/x
  3. Step 3: Cross multiply
    2,227.50x = 5,037.19 × 5,037.19
  4. Step 4: Simplify right side
    2,227.50x = 25,373,257.91
  5. Step 5: Solve for x
    x = 25,373,257.91/2,227.50
  6. Step 6: Final answer
    x = 11,390.91

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.