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Finding the Third Proportional to 13,991 and 21,839

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Solution

The third proportional to 13,991 and 21,839 is: 34,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991 : 21,839 = 21,839 : x
  2. Step 2: Convert to fraction form
    13,991/21,839 = 21,839/x
  3. Step 3: Cross multiply
    13,991x = 21,839 × 21,839
  4. Step 4: Simplify right side
    13,991x = 476,941,921
  5. Step 5: Solve for x
    x = 476,941,921/13,991
  6. Step 6: Final answer
    x = 34,089.19

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.