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Finding the Third Proportional to 2,250 and 5,104.13

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Solution

The third proportional to 2,250 and 5,104.13 is: 11,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250 : 5,104.13 = 5,104.13 : x
  2. Step 2: Convert to fraction form
    2,250/5,104.13 = 5,104.13/x
  3. Step 3: Cross multiply
    2,250x = 5,104.13 × 5,104.13
  4. Step 4: Simplify right side
    2,250x = 26,052,092.02
  5. Step 5: Solve for x
    x = 26,052,092.02/2,250
  6. Step 6: Final answer
    x = 11,578.71

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.