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Finding the Third Proportional to 17,329 and 37,027

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Solution

The third proportional to 17,329 and 37,027 is: 79,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,329 : 37,027 = 37,027 : x
  2. Step 2: Convert to fraction form
    17,329/37,027 = 37,027/x
  3. Step 3: Cross multiply
    17,329x = 37,027 × 37,027
  4. Step 4: Simplify right side
    17,329x = 1,370,998,729
  5. Step 5: Solve for x
    x = 1,370,998,729/17,329
  6. Step 6: Final answer
    x = 79,115.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.