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Finding the Third Proportional to 8,067.75 and 12,997.50

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Solution

The third proportional to 8,067.75 and 12,997.50 is: 20,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.75 : 12,997.50 = 12,997.50 : x
  2. Step 2: Convert to fraction form
    8,067.75/12,997.50 = 12,997.50/x
  3. Step 3: Cross multiply
    8,067.75x = 12,997.50 × 12,997.50
  4. Step 4: Simplify right side
    8,067.75x = 168,935,006.25
  5. Step 5: Solve for x
    x = 168,935,006.25/8,067.75
  6. Step 6: Final answer
    x = 20,939.54

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.