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Finding the Third Proportional to 13,314 and 20,885

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Solution

The third proportional to 13,314 and 20,885 is: 32,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314 : 20,885 = 20,885 : x
  2. Step 2: Convert to fraction form
    13,314/20,885 = 20,885/x
  3. Step 3: Cross multiply
    13,314x = 20,885 × 20,885
  4. Step 4: Simplify right side
    13,314x = 436,183,225
  5. Step 5: Solve for x
    x = 436,183,225/13,314
  6. Step 6: Final answer
    x = 32,761.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.