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Finding the Third Proportional to 5,944.64 and 12,879.98

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Solution

The third proportional to 5,944.64 and 12,879.98 is: 27,906.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.64 : 12,879.98 = 12,879.98 : x
  2. Step 2: Convert to fraction form
    5,944.64/12,879.98 = 12,879.98/x
  3. Step 3: Cross multiply
    5,944.64x = 12,879.98 × 12,879.98
  4. Step 4: Simplify right side
    5,944.64x = 165,893,997.50
  5. Step 5: Solve for x
    x = 165,893,997.50/5,944.64
  6. Step 6: Final answer
    x = 27,906.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.