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Finding the Third Proportional to 18,217 and 24,145

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Solution

The third proportional to 18,217 and 24,145 is: 32,002.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,217 : 24,145 = 24,145 : x
  2. Step 2: Convert to fraction form
    18,217/24,145 = 24,145/x
  3. Step 3: Cross multiply
    18,217x = 24,145 × 24,145
  4. Step 4: Simplify right side
    18,217x = 582,981,025
  5. Step 5: Solve for x
    x = 582,981,025/18,217
  6. Step 6: Final answer
    x = 32,002.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.