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Finding the Third Proportional to 17,764 and 37,936

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Solution

The third proportional to 17,764 and 37,936 is: 81,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764 : 37,936 = 37,936 : x
  2. Step 2: Convert to fraction form
    17,764/37,936 = 37,936/x
  3. Step 3: Cross multiply
    17,764x = 37,936 × 37,936
  4. Step 4: Simplify right side
    17,764x = 1,439,140,096
  5. Step 5: Solve for x
    x = 1,439,140,096/17,764
  6. Step 6: Final answer
    x = 81,014.42

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