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Finding the Third Proportional to 26,917 and 38,530

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Solution

The third proportional to 26,917 and 38,530 is: 55,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,917 : 38,530 = 38,530 : x
  2. Step 2: Convert to fraction form
    26,917/38,530 = 38,530/x
  3. Step 3: Cross multiply
    26,917x = 38,530 × 38,530
  4. Step 4: Simplify right side
    26,917x = 1,484,560,900
  5. Step 5: Solve for x
    x = 1,484,560,900/26,917
  6. Step 6: Final answer
    x = 55,153.28

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.