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Finding the Third Proportional to 13,914 and 20,991

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Solution

The third proportional to 13,914 and 20,991 is: 31,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914 : 20,991 = 20,991 : x
  2. Step 2: Convert to fraction form
    13,914/20,991 = 20,991/x
  3. Step 3: Cross multiply
    13,914x = 20,991 × 20,991
  4. Step 4: Simplify right side
    13,914x = 440,622,081
  5. Step 5: Solve for x
    x = 440,622,081/13,914
  6. Step 6: Final answer
    x = 31,667.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.