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Finding the Third Proportional to 8,073 and 16,443

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Solution

The third proportional to 8,073 and 16,443 is: 33,490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073 : 16,443 = 16,443 : x
  2. Step 2: Convert to fraction form
    8,073/16,443 = 16,443/x
  3. Step 3: Cross multiply
    8,073x = 16,443 × 16,443
  4. Step 4: Simplify right side
    8,073x = 270,372,249
  5. Step 5: Solve for x
    x = 270,372,249/8,073
  6. Step 6: Final answer
    x = 33,490.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.