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Finding the Third Proportional to 17,096 and 37,144

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Solution

The third proportional to 17,096 and 37,144 is: 80,701.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096 : 37,144 = 37,144 : x
  2. Step 2: Convert to fraction form
    17,096/37,144 = 37,144/x
  3. Step 3: Cross multiply
    17,096x = 37,144 × 37,144
  4. Step 4: Simplify right side
    17,096x = 1,379,676,736
  5. Step 5: Solve for x
    x = 1,379,676,736/17,096
  6. Step 6: Final answer
    x = 80,701.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.