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Finding the Third Proportional to 20,171 and 30,662

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Solution

The third proportional to 20,171 and 30,662 is: 46,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171 : 30,662 = 30,662 : x
  2. Step 2: Convert to fraction form
    20,171/30,662 = 30,662/x
  3. Step 3: Cross multiply
    20,171x = 30,662 × 30,662
  4. Step 4: Simplify right side
    20,171x = 940,158,244
  5. Step 5: Solve for x
    x = 940,158,244/20,171
  6. Step 6: Final answer
    x = 46,609.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.