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Finding the Third Proportional to 13,084 and 18,234

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Solution

The third proportional to 13,084 and 18,234 is: 25,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084 : 18,234 = 18,234 : x
  2. Step 2: Convert to fraction form
    13,084/18,234 = 18,234/x
  3. Step 3: Cross multiply
    13,084x = 18,234 × 18,234
  4. Step 4: Simplify right side
    13,084x = 332,478,756
  5. Step 5: Solve for x
    x = 332,478,756/13,084
  6. Step 6: Final answer
    x = 25,411.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.