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Finding the Third Proportional to 8,599 and 18,233

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Solution

The third proportional to 8,599 and 18,233 is: 38,660.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,599 : 18,233 = 18,233 : x
  2. Step 2: Convert to fraction form
    8,599/18,233 = 18,233/x
  3. Step 3: Cross multiply
    8,599x = 18,233 × 18,233
  4. Step 4: Simplify right side
    8,599x = 332,442,289
  5. Step 5: Solve for x
    x = 332,442,289/8,599
  6. Step 6: Final answer
    x = 38,660.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.