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Finding the Third Proportional to 12,744.21 and 27,676.69

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Solution

The third proportional to 12,744.21 and 27,676.69 is: 60,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.21 : 27,676.69 = 27,676.69 : x
  2. Step 2: Convert to fraction form
    12,744.21/27,676.69 = 27,676.69/x
  3. Step 3: Cross multiply
    12,744.21x = 27,676.69 × 27,676.69
  4. Step 4: Simplify right side
    12,744.21x = 765,999,030.97
  5. Step 5: Solve for x
    x = 765,999,030.97/12,744.21
  6. Step 6: Final answer
    x = 60,105.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.