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Finding the Third Proportional to 17,450 and 41,188

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Solution

The third proportional to 17,450 and 41,188 is: 97,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,450 : 41,188 = 41,188 : x
  2. Step 2: Convert to fraction form
    17,450/41,188 = 41,188/x
  3. Step 3: Cross multiply
    17,450x = 41,188 × 41,188
  4. Step 4: Simplify right side
    17,450x = 1,696,451,344
  5. Step 5: Solve for x
    x = 1,696,451,344/17,450
  6. Step 6: Final answer
    x = 97,217.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.