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Finding the Third Proportional to 13,991 and 21,121

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Solution

The third proportional to 13,991 and 21,121 is: 31,884.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991 : 21,121 = 21,121 : x
  2. Step 2: Convert to fraction form
    13,991/21,121 = 21,121/x
  3. Step 3: Cross multiply
    13,991x = 21,121 × 21,121
  4. Step 4: Simplify right side
    13,991x = 446,096,641
  5. Step 5: Solve for x
    x = 446,096,641/13,991
  6. Step 6: Final answer
    x = 31,884.54

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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.