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Finding the Third Proportional to 8,023 and 18,221

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Solution

The third proportional to 8,023 and 18,221 is: 41,381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023 : 18,221 = 18,221 : x
  2. Step 2: Convert to fraction form
    8,023/18,221 = 18,221/x
  3. Step 3: Cross multiply
    8,023x = 18,221 × 18,221
  4. Step 4: Simplify right side
    8,023x = 332,004,841
  5. Step 5: Solve for x
    x = 332,004,841/8,023
  6. Step 6: Final answer
    x = 41,381.63

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.