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Finding the Third Proportional to 11,378.69 and 17,414.44

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Solution

The third proportional to 11,378.69 and 17,414.44 is: 26,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.69 : 17,414.44 = 17,414.44 : x
  2. Step 2: Convert to fraction form
    11,378.69/17,414.44 = 17,414.44/x
  3. Step 3: Cross multiply
    11,378.69x = 17,414.44 × 17,414.44
  4. Step 4: Simplify right side
    11,378.69x = 303,262,633.44
  5. Step 5: Solve for x
    x = 303,262,633.44/11,378.69
  6. Step 6: Final answer
    x = 26,651.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.