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Finding the Third Proportional to 12,734.72 and 27,212.20

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Solution

The third proportional to 12,734.72 and 27,212.20 is: 58,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734.72 : 27,212.20 = 27,212.20 : x
  2. Step 2: Convert to fraction form
    12,734.72/27,212.20 = 27,212.20/x
  3. Step 3: Cross multiply
    12,734.72x = 27,212.20 × 27,212.20
  4. Step 4: Simplify right side
    12,734.72x = 740,503,998.92
  5. Step 5: Solve for x
    x = 740,503,998.92/12,734.72
  6. Step 6: Final answer
    x = 58,148.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.