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Finding the Third Proportional to 17,096 and 37,558

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Solution

The third proportional to 17,096 and 37,558 is: 82,510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096 : 37,558 = 37,558 : x
  2. Step 2: Convert to fraction form
    17,096/37,558 = 37,558/x
  3. Step 3: Cross multiply
    17,096x = 37,558 × 37,558
  4. Step 4: Simplify right side
    17,096x = 1,410,603,364
  5. Step 5: Solve for x
    x = 1,410,603,364/17,096
  6. Step 6: Final answer
    x = 82,510.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.