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Finding the Third Proportional to 20,167 and 32,378

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Solution

The third proportional to 20,167 and 32,378 is: 51,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167 : 32,378 = 32,378 : x
  2. Step 2: Convert to fraction form
    20,167/32,378 = 32,378/x
  3. Step 3: Cross multiply
    20,167x = 32,378 × 32,378
  4. Step 4: Simplify right side
    20,167x = 1,048,334,884
  5. Step 5: Solve for x
    x = 1,048,334,884/20,167
  6. Step 6: Final answer
    x = 51,982.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.