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Finding the Third Proportional to 12,904.31 and 18,172.69

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Solution

The third proportional to 12,904.31 and 18,172.69 is: 25,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.31 : 18,172.69 = 18,172.69 : x
  2. Step 2: Convert to fraction form
    12,904.31/18,172.69 = 18,172.69/x
  3. Step 3: Cross multiply
    12,904.31x = 18,172.69 × 18,172.69
  4. Step 4: Simplify right side
    12,904.31x = 330,246,570.97
  5. Step 5: Solve for x
    x = 330,246,570.97/12,904.31
  6. Step 6: Final answer
    x = 25,591.95

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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.