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Finding the Third Proportional to 13,982 and 21,819

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Solution

The third proportional to 13,982 and 21,819 is: 34,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982 : 21,819 = 21,819 : x
  2. Step 2: Convert to fraction form
    13,982/21,819 = 21,819/x
  3. Step 3: Cross multiply
    13,982x = 21,819 × 21,819
  4. Step 4: Simplify right side
    13,982x = 476,068,761
  5. Step 5: Solve for x
    x = 476,068,761/13,982
  6. Step 6: Final answer
    x = 34,048.69

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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.