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Finding the Third Proportional to 13,224 and 18,801

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Solution

The third proportional to 13,224 and 18,801 is: 26,730.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224 : 18,801 = 18,801 : x
  2. Step 2: Convert to fraction form
    13,224/18,801 = 18,801/x
  3. Step 3: Cross multiply
    13,224x = 18,801 × 18,801
  4. Step 4: Simplify right side
    13,224x = 353,477,601
  5. Step 5: Solve for x
    x = 353,477,601/13,224
  6. Step 6: Final answer
    x = 26,730.01

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.