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Finding the Third Proportional to 18,148.88 and 27,223.31

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Solution

The third proportional to 18,148.88 and 27,223.31 is: 40,834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,148.88 : 27,223.31 = 27,223.31 : x
  2. Step 2: Convert to fraction form
    18,148.88/27,223.31 = 27,223.31/x
  3. Step 3: Cross multiply
    18,148.88x = 27,223.31 × 27,223.31
  4. Step 4: Simplify right side
    18,148.88x = 741,108,743.47
  5. Step 5: Solve for x
    x = 741,108,743.47/18,148.88
  6. Step 6: Final answer
    x = 40,834.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.