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Finding the Third Proportional to 12,003.75 and 16,896.94

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Solution

The third proportional to 12,003.75 and 16,896.94 is: 23,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.75 : 16,896.94 = 16,896.94 : x
  2. Step 2: Convert to fraction form
    12,003.75/16,896.94 = 16,896.94/x
  3. Step 3: Cross multiply
    12,003.75x = 16,896.94 × 16,896.94
  4. Step 4: Simplify right side
    12,003.75x = 285,506,496.88
  5. Step 5: Solve for x
    x = 285,506,496.88/12,003.75
  6. Step 6: Final answer
    x = 23,784.78

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.