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Finding the Third Proportional to 13,812 and 19,966

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Solution

The third proportional to 13,812 and 19,966 is: 28,861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812 : 19,966 = 19,966 : x
  2. Step 2: Convert to fraction form
    13,812/19,966 = 19,966/x
  3. Step 3: Cross multiply
    13,812x = 19,966 × 19,966
  4. Step 4: Simplify right side
    13,812x = 398,641,156
  5. Step 5: Solve for x
    x = 398,641,156/13,812
  6. Step 6: Final answer
    x = 28,861.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.