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Finding the Third Proportional to 8,373 and 16,533

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Solution

The third proportional to 8,373 and 16,533 is: 32,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,373 : 16,533 = 16,533 : x
  2. Step 2: Convert to fraction form
    8,373/16,533 = 16,533/x
  3. Step 3: Cross multiply
    8,373x = 16,533 × 16,533
  4. Step 4: Simplify right side
    8,373x = 273,340,089
  5. Step 5: Solve for x
    x = 273,340,089/8,373
  6. Step 6: Final answer
    x = 32,645.42

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.