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Finding the Third Proportional to 9,224 and 13,812

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Solution

The third proportional to 9,224 and 13,812 is: 20,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224 : 13,812 = 13,812 : x
  2. Step 2: Convert to fraction form
    9,224/13,812 = 13,812/x
  3. Step 3: Cross multiply
    9,224x = 13,812 × 13,812
  4. Step 4: Simplify right side
    9,224x = 190,771,344
  5. Step 5: Solve for x
    x = 190,771,344/9,224
  6. Step 6: Final answer
    x = 20,682.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.