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Finding the Third Proportional to 18,145.13 and 27,217.69

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Solution

The third proportional to 18,145.13 and 27,217.69 is: 40,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,145.13 : 27,217.69 = 27,217.69 : x
  2. Step 2: Convert to fraction form
    18,145.13/27,217.69 = 27,217.69/x
  3. Step 3: Cross multiply
    18,145.13x = 27,217.69 × 27,217.69
  4. Step 4: Simplify right side
    18,145.13x = 740,802,512.85
  5. Step 5: Solve for x
    x = 740,802,512.85/18,145.13
  6. Step 6: Final answer
    x = 40,826.53

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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.