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Finding the Third Proportional to 17,182 and 36,632

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Solution

The third proportional to 17,182 and 36,632 is: 78,099.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182 : 36,632 = 36,632 : x
  2. Step 2: Convert to fraction form
    17,182/36,632 = 36,632/x
  3. Step 3: Cross multiply
    17,182x = 36,632 × 36,632
  4. Step 4: Simplify right side
    17,182x = 1,341,903,424
  5. Step 5: Solve for x
    x = 1,341,903,424/17,182
  6. Step 6: Final answer
    x = 78,099.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.