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Finding the Third Proportional to 20,107 and 32,861

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Solution

The third proportional to 20,107 and 32,861 is: 53,704.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107 : 32,861 = 32,861 : x
  2. Step 2: Convert to fraction form
    20,107/32,861 = 32,861/x
  3. Step 3: Cross multiply
    20,107x = 32,861 × 32,861
  4. Step 4: Simplify right side
    20,107x = 1,079,845,321
  5. Step 5: Solve for x
    x = 1,079,845,321/20,107
  6. Step 6: Final answer
    x = 53,704.94

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.