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Finding the Third Proportional to 12,171.94 and 18,257.06

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Solution

The third proportional to 12,171.94 and 18,257.06 is: 27,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.94 : 18,257.06 = 18,257.06 : x
  2. Step 2: Convert to fraction form
    12,171.94/18,257.06 = 18,257.06/x
  3. Step 3: Cross multiply
    12,171.94x = 18,257.06 × 18,257.06
  4. Step 4: Simplify right side
    12,171.94x = 333,320,331.13
  5. Step 5: Solve for x
    x = 333,320,331.13/12,171.94
  6. Step 6: Final answer
    x = 27,384.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.