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Finding the Third Proportional to 32,921 and 64,198

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Solution

The third proportional to 32,921 and 64,198 is: 125,190.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,921 : 64,198 = 64,198 : x
  2. Step 2: Convert to fraction form
    32,921/64,198 = 64,198/x
  3. Step 3: Cross multiply
    32,921x = 64,198 × 64,198
  4. Step 4: Simplify right side
    32,921x = 4,121,383,204
  5. Step 5: Solve for x
    x = 4,121,383,204/32,921
  6. Step 6: Final answer
    x = 125,190.10

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.