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Finding the Third Proportional to 16,728 and 25,234

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Solution

The third proportional to 16,728 and 25,234 is: 38,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,728 : 25,234 = 25,234 : x
  2. Step 2: Convert to fraction form
    16,728/25,234 = 25,234/x
  3. Step 3: Cross multiply
    16,728x = 25,234 × 25,234
  4. Step 4: Simplify right side
    16,728x = 636,754,756
  5. Step 5: Solve for x
    x = 636,754,756/16,728
  6. Step 6: Final answer
    x = 38,065.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.