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Finding the Third Proportional to 12,901.78 and 18,190.83

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Solution

The third proportional to 12,901.78 and 18,190.83 is: 25,648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.78 : 18,190.83 = 18,190.83 : x
  2. Step 2: Convert to fraction form
    12,901.78/18,190.83 = 18,190.83/x
  3. Step 3: Cross multiply
    12,901.78x = 18,190.83 × 18,190.83
  4. Step 4: Simplify right side
    12,901.78x = 330,906,227.87
  5. Step 5: Solve for x
    x = 330,906,227.87/12,901.78
  6. Step 6: Final answer
    x = 25,648.10

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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.