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Finding the Third Proportional to 17,093 and 37,552

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Solution

The third proportional to 17,093 and 37,552 is: 82,498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,093 : 37,552 = 37,552 : x
  2. Step 2: Convert to fraction form
    17,093/37,552 = 37,552/x
  3. Step 3: Cross multiply
    17,093x = 37,552 × 37,552
  4. Step 4: Simplify right side
    17,093x = 1,410,152,704
  5. Step 5: Solve for x
    x = 1,410,152,704/17,093
  6. Step 6: Final answer
    x = 82,498.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.