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Finding the Third Proportional to 8,023 and 17,231

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Solution

The third proportional to 8,023 and 17,231 is: 37,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023 : 17,231 = 17,231 : x
  2. Step 2: Convert to fraction form
    8,023/17,231 = 17,231/x
  3. Step 3: Cross multiply
    8,023x = 17,231 × 17,231
  4. Step 4: Simplify right side
    8,023x = 296,907,361
  5. Step 5: Solve for x
    x = 296,907,361/8,023
  6. Step 6: Final answer
    x = 37,007.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.