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Finding the Third Proportional to 5,149.83 and 11,028.66

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Solution

The third proportional to 5,149.83 and 11,028.66 is: 23,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.83 : 11,028.66 = 11,028.66 : x
  2. Step 2: Convert to fraction form
    5,149.83/11,028.66 = 11,028.66/x
  3. Step 3: Cross multiply
    5,149.83x = 11,028.66 × 11,028.66
  4. Step 4: Simplify right side
    5,149.83x = 121,631,258.68
  5. Step 5: Solve for x
    x = 121,631,258.68/5,149.83
  6. Step 6: Final answer
    x = 23,618.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.