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Finding the Third Proportional to 8,221 and 17,817

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Solution

The third proportional to 8,221 and 17,817 is: 38,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221 : 17,817 = 17,817 : x
  2. Step 2: Convert to fraction form
    8,221/17,817 = 17,817/x
  3. Step 3: Cross multiply
    8,221x = 17,817 × 17,817
  4. Step 4: Simplify right side
    8,221x = 317,445,489
  5. Step 5: Solve for x
    x = 317,445,489/8,221
  6. Step 6: Final answer
    x = 38,613.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.