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Finding the Third Proportional to 35,269 and 50,149

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Solution

The third proportional to 35,269 and 50,149 is: 71,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,269 : 50,149 = 50,149 : x
  2. Step 2: Convert to fraction form
    35,269/50,149 = 50,149/x
  3. Step 3: Cross multiply
    35,269x = 50,149 × 50,149
  4. Step 4: Simplify right side
    35,269x = 2,514,922,201
  5. Step 5: Solve for x
    x = 2,514,922,201/35,269
  6. Step 6: Final answer
    x = 71,306.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.