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Finding the Third Proportional to 13,224 and 27,408

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Solution

The third proportional to 13,224 and 27,408 is: 56,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224 : 27,408 = 27,408 : x
  2. Step 2: Convert to fraction form
    13,224/27,408 = 27,408/x
  3. Step 3: Cross multiply
    13,224x = 27,408 × 27,408
  4. Step 4: Simplify right side
    13,224x = 751,198,464
  5. Step 5: Solve for x
    x = 751,198,464/13,224
  6. Step 6: Final answer
    x = 56,805.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.