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Finding the Third Proportional to 16,942 and 25,631

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Solution

The third proportional to 16,942 and 25,631 is: 38,776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,942 : 25,631 = 25,631 : x
  2. Step 2: Convert to fraction form
    16,942/25,631 = 25,631/x
  3. Step 3: Cross multiply
    16,942x = 25,631 × 25,631
  4. Step 4: Simplify right side
    16,942x = 656,948,161
  5. Step 5: Solve for x
    x = 656,948,161/16,942
  6. Step 6: Final answer
    x = 38,776.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.