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Finding the Third Proportional to 12,769.31 and 27,074.44

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Solution

The third proportional to 12,769.31 and 27,074.44 is: 57,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.31 : 27,074.44 = 27,074.44 : x
  2. Step 2: Convert to fraction form
    12,769.31/27,074.44 = 27,074.44/x
  3. Step 3: Cross multiply
    12,769.31x = 27,074.44 × 27,074.44
  4. Step 4: Simplify right side
    12,769.31x = 733,025,165.94
  5. Step 5: Solve for x
    x = 733,025,165.94/12,769.31
  6. Step 6: Final answer
    x = 57,405.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.