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Finding the Third Proportional to 12,218.34 and 27,079.31

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Solution

The third proportional to 12,218.34 and 27,079.31 is: 60,015.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.34 : 27,079.31 = 27,079.31 : x
  2. Step 2: Convert to fraction form
    12,218.34/27,079.31 = 27,079.31/x
  3. Step 3: Cross multiply
    12,218.34x = 27,079.31 × 27,079.31
  4. Step 4: Simplify right side
    12,218.34x = 733,289,165.47
  5. Step 5: Solve for x
    x = 733,289,165.47/12,218.34
  6. Step 6: Final answer
    x = 60,015.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.