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Finding the Third Proportional to 16,799 and 22,153

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Solution

The third proportional to 16,799 and 22,153 is: 29,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,799 : 22,153 = 22,153 : x
  2. Step 2: Convert to fraction form
    16,799/22,153 = 22,153/x
  3. Step 3: Cross multiply
    16,799x = 22,153 × 22,153
  4. Step 4: Simplify right side
    16,799x = 490,755,409
  5. Step 5: Solve for x
    x = 490,755,409/16,799
  6. Step 6: Final answer
    x = 29,213.37

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.