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Finding the Third Proportional to 32,162 and 50,302

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Solution

The third proportional to 32,162 and 50,302 is: 78,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,162 : 50,302 = 50,302 : x
  2. Step 2: Convert to fraction form
    32,162/50,302 = 50,302/x
  3. Step 3: Cross multiply
    32,162x = 50,302 × 50,302
  4. Step 4: Simplify right side
    32,162x = 2,530,291,204
  5. Step 5: Solve for x
    x = 2,530,291,204/32,162
  6. Step 6: Final answer
    x = 78,673.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.