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Finding the Third Proportional to 32,204 and 50,272

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Solution

The third proportional to 32,204 and 50,272 is: 78,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,204 : 50,272 = 50,272 : x
  2. Step 2: Convert to fraction form
    32,204/50,272 = 50,272/x
  3. Step 3: Cross multiply
    32,204x = 50,272 × 50,272
  4. Step 4: Simplify right side
    32,204x = 2,527,273,984
  5. Step 5: Solve for x
    x = 2,527,273,984/32,204
  6. Step 6: Final answer
    x = 78,477.02

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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.