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Finding the Third Proportional to 16,745 and 22,962

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Solution

The third proportional to 16,745 and 22,962 is: 31,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,745 : 22,962 = 22,962 : x
  2. Step 2: Convert to fraction form
    16,745/22,962 = 22,962/x
  3. Step 3: Cross multiply
    16,745x = 22,962 × 22,962
  4. Step 4: Simplify right side
    16,745x = 527,253,444
  5. Step 5: Solve for x
    x = 527,253,444/16,745
  6. Step 6: Final answer
    x = 31,487.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.