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Finding the Third Proportional to 13,812 and 16,224

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Solution

The third proportional to 13,812 and 16,224 is: 19,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812 : 16,224 = 16,224 : x
  2. Step 2: Convert to fraction form
    13,812/16,224 = 16,224/x
  3. Step 3: Cross multiply
    13,812x = 16,224 × 16,224
  4. Step 4: Simplify right side
    13,812x = 263,218,176
  5. Step 5: Solve for x
    x = 263,218,176/13,812
  6. Step 6: Final answer
    x = 19,057.21

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.