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Finding the Third Proportional to 8,229 and 11,817

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Solution

The third proportional to 8,229 and 11,817 is: 16,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229 : 11,817 = 11,817 : x
  2. Step 2: Convert to fraction form
    8,229/11,817 = 11,817/x
  3. Step 3: Cross multiply
    8,229x = 11,817 × 11,817
  4. Step 4: Simplify right side
    8,229x = 139,641,489
  5. Step 5: Solve for x
    x = 139,641,489/8,229
  6. Step 6: Final answer
    x = 16,969.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.