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Finding the Third Proportional to 20,171 and 32,687

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Solution

The third proportional to 20,171 and 32,687 is: 52,969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171 : 32,687 = 32,687 : x
  2. Step 2: Convert to fraction form
    20,171/32,687 = 32,687/x
  3. Step 3: Cross multiply
    20,171x = 32,687 × 32,687
  4. Step 4: Simplify right side
    20,171x = 1,068,439,969
  5. Step 5: Solve for x
    x = 1,068,439,969/20,171
  6. Step 6: Final answer
    x = 52,969.11

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.