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Finding the Third Proportional to 17,824 and 38,936

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Solution

The third proportional to 17,824 and 38,936 is: 85,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824 : 38,936 = 38,936 : x
  2. Step 2: Convert to fraction form
    17,824/38,936 = 38,936/x
  3. Step 3: Cross multiply
    17,824x = 38,936 × 38,936
  4. Step 4: Simplify right side
    17,824x = 1,516,012,096
  5. Step 5: Solve for x
    x = 1,516,012,096/17,824
  6. Step 6: Final answer
    x = 85,054.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.