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Finding the Third Proportional to 16,792 and 25,676

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Solution

The third proportional to 16,792 and 25,676 is: 39,260.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,792 : 25,676 = 25,676 : x
  2. Step 2: Convert to fraction form
    16,792/25,676 = 25,676/x
  3. Step 3: Cross multiply
    16,792x = 25,676 × 25,676
  4. Step 4: Simplify right side
    16,792x = 659,256,976
  5. Step 5: Solve for x
    x = 659,256,976/16,792
  6. Step 6: Final answer
    x = 39,260.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.