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Finding the Third Proportional to 17,474 and 27,093

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Solution

The third proportional to 17,474 and 27,093 is: 42,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474 : 27,093 = 27,093 : x
  2. Step 2: Convert to fraction form
    17,474/27,093 = 27,093/x
  3. Step 3: Cross multiply
    17,474x = 27,093 × 27,093
  4. Step 4: Simplify right side
    17,474x = 734,030,649
  5. Step 5: Solve for x
    x = 734,030,649/17,474
  6. Step 6: Final answer
    x = 42,007.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.