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Finding the Third Proportional to 16,623.50 and 24,879

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Solution

The third proportional to 16,623.50 and 24,879 is: 37,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,623.50 : 24,879 = 24,879 : x
  2. Step 2: Convert to fraction form
    16,623.50/24,879 = 24,879/x
  3. Step 3: Cross multiply
    16,623.50x = 24,879 × 24,879
  4. Step 4: Simplify right side
    16,623.50x = 618,964,641
  5. Step 5: Solve for x
    x = 618,964,641/16,623.50
  6. Step 6: Final answer
    x = 37,234.32

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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.