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Finding the Third Proportional to 17,713.69 and 27,193.22

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Solution

The third proportional to 17,713.69 and 27,193.22 is: 41,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.69 : 27,193.22 = 27,193.22 : x
  2. Step 2: Convert to fraction form
    17,713.69/27,193.22 = 27,193.22/x
  3. Step 3: Cross multiply
    17,713.69x = 27,193.22 × 27,193.22
  4. Step 4: Simplify right side
    17,713.69x = 739,471,145.99
  5. Step 5: Solve for x
    x = 739,471,145.99/17,713.69
  6. Step 6: Final answer
    x = 41,745.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.