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Finding the Third Proportional to 16,622 and 24,861

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Solution

The third proportional to 16,622 and 24,861 is: 37,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,622 : 24,861 = 24,861 : x
  2. Step 2: Convert to fraction form
    16,622/24,861 = 24,861/x
  3. Step 3: Cross multiply
    16,622x = 24,861 × 24,861
  4. Step 4: Simplify right side
    16,622x = 618,069,321
  5. Step 5: Solve for x
    x = 618,069,321/16,622
  6. Step 6: Final answer
    x = 37,183.81

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Why These Related Problems?

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