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Finding the Third Proportional to 36,105 and 53,857

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Solution

The third proportional to 36,105 and 53,857 is: 80,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,105 : 53,857 = 53,857 : x
  2. Step 2: Convert to fraction form
    36,105/53,857 = 53,857/x
  3. Step 3: Cross multiply
    36,105x = 53,857 × 53,857
  4. Step 4: Simplify right side
    36,105x = 2,900,576,449
  5. Step 5: Solve for x
    x = 2,900,576,449/36,105
  6. Step 6: Final answer
    x = 80,337.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.