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Finding the Third Proportional to 16,936 and 24,197

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Solution

The third proportional to 16,936 and 24,197 is: 34,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,936 : 24,197 = 24,197 : x
  2. Step 2: Convert to fraction form
    16,936/24,197 = 24,197/x
  3. Step 3: Cross multiply
    16,936x = 24,197 × 24,197
  4. Step 4: Simplify right side
    16,936x = 585,494,809
  5. Step 5: Solve for x
    x = 585,494,809/16,936
  6. Step 6: Final answer
    x = 34,571.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.