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Finding the Third Proportional to 12,105 and 18,694.69

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Solution

The third proportional to 12,105 and 18,694.69 is: 28,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105 : 18,694.69 = 18,694.69 : x
  2. Step 2: Convert to fraction form
    12,105/18,694.69 = 18,694.69/x
  3. Step 3: Cross multiply
    12,105x = 18,694.69 × 18,694.69
  4. Step 4: Simplify right side
    12,105x = 349,491,340.72
  5. Step 5: Solve for x
    x = 349,491,340.72/12,105
  6. Step 6: Final answer
    x = 28,871.65

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.