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Finding the Third Proportional to 16,330 and 24,782

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Solution

The third proportional to 16,330 and 24,782 is: 37,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,330 : 24,782 = 24,782 : x
  2. Step 2: Convert to fraction form
    16,330/24,782 = 24,782/x
  3. Step 3: Cross multiply
    16,330x = 24,782 × 24,782
  4. Step 4: Simplify right side
    16,330x = 614,147,524
  5. Step 5: Solve for x
    x = 614,147,524/16,330
  6. Step 6: Final answer
    x = 37,608.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.