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Finding the Third Proportional to 13,224 and 19,836

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Solution

The third proportional to 13,224 and 19,836 is: 29,754

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224 : 19,836 = 19,836 : x
  2. Step 2: Convert to fraction form
    13,224/19,836 = 19,836/x
  3. Step 3: Cross multiply
    13,224x = 19,836 × 19,836
  4. Step 4: Simplify right side
    13,224x = 393,466,896
  5. Step 5: Solve for x
    x = 393,466,896/13,224
  6. Step 6: Final answer
    x = 29,754

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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.