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Finding the Third Proportional to 12,954.94 and 18,255.38

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Solution

The third proportional to 12,954.94 and 18,255.38 is: 25,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.94 : 18,255.38 = 18,255.38 : x
  2. Step 2: Convert to fraction form
    12,954.94/18,255.38 = 18,255.38/x
  3. Step 3: Cross multiply
    12,954.94x = 18,255.38 × 18,255.38
  4. Step 4: Simplify right side
    12,954.94x = 333,258,716.39
  5. Step 5: Solve for x
    x = 333,258,716.39/12,954.94
  6. Step 6: Final answer
    x = 25,724.46

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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.