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Finding the Third Proportional to 13,817 and 21,249

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Solution

The third proportional to 13,817 and 21,249 is: 32,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817 : 21,249 = 21,249 : x
  2. Step 2: Convert to fraction form
    13,817/21,249 = 21,249/x
  3. Step 3: Cross multiply
    13,817x = 21,249 × 21,249
  4. Step 4: Simplify right side
    13,817x = 451,520,001
  5. Step 5: Solve for x
    x = 451,520,001/13,817
  6. Step 6: Final answer
    x = 32,678.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.