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Finding the Third Proportional to 12,351.23 and 18,493.31

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Solution

The third proportional to 12,351.23 and 18,493.31 is: 27,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351.23 : 18,493.31 = 18,493.31 : x
  2. Step 2: Convert to fraction form
    12,351.23/18,493.31 = 18,493.31/x
  3. Step 3: Cross multiply
    12,351.23x = 18,493.31 × 18,493.31
  4. Step 4: Simplify right side
    12,351.23x = 342,002,607.22
  5. Step 5: Solve for x
    x = 342,002,607.22/12,351.23
  6. Step 6: Final answer
    x = 27,689.75

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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.