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Finding the Third Proportional to 16,696 and 24,990

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Solution

The third proportional to 16,696 and 24,990 is: 37,404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,696 : 24,990 = 24,990 : x
  2. Step 2: Convert to fraction form
    16,696/24,990 = 24,990/x
  3. Step 3: Cross multiply
    16,696x = 24,990 × 24,990
  4. Step 4: Simplify right side
    16,696x = 624,500,100
  5. Step 5: Solve for x
    x = 624,500,100/16,696
  6. Step 6: Final answer
    x = 37,404.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.