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Finding the Third Proportional to 27,419 and 37,156

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Solution

The third proportional to 27,419 and 37,156 is: 50,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419 : 37,156 = 37,156 : x
  2. Step 2: Convert to fraction form
    27,419/37,156 = 37,156/x
  3. Step 3: Cross multiply
    27,419x = 37,156 × 37,156
  4. Step 4: Simplify right side
    27,419x = 1,380,568,336
  5. Step 5: Solve for x
    x = 1,380,568,336/27,419
  6. Step 6: Final answer
    x = 50,350.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.