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Finding the Third Proportional to 16,584.75 and 24,867

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Solution

The third proportional to 16,584.75 and 24,867 is: 37,285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.75 : 24,867 = 24,867 : x
  2. Step 2: Convert to fraction form
    16,584.75/24,867 = 24,867/x
  3. Step 3: Cross multiply
    16,584.75x = 24,867 × 24,867
  4. Step 4: Simplify right side
    16,584.75x = 618,367,689
  5. Step 5: Solve for x
    x = 618,367,689/16,584.75
  6. Step 6: Final answer
    x = 37,285.32

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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.