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Finding the Third Proportional to 16,702 and 23,493

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Solution

The third proportional to 16,702 and 23,493 is: 33,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702 : 23,493 = 23,493 : x
  2. Step 2: Convert to fraction form
    16,702/23,493 = 23,493/x
  3. Step 3: Cross multiply
    16,702x = 23,493 × 23,493
  4. Step 4: Simplify right side
    16,702x = 551,921,049
  5. Step 5: Solve for x
    x = 551,921,049/16,702
  6. Step 6: Final answer
    x = 33,045.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.