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Finding the Third Proportional to 27,086 and 41,349

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Solution

The third proportional to 27,086 and 41,349 is: 63,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,086 : 41,349 = 41,349 : x
  2. Step 2: Convert to fraction form
    27,086/41,349 = 41,349/x
  3. Step 3: Cross multiply
    27,086x = 41,349 × 41,349
  4. Step 4: Simplify right side
    27,086x = 1,709,739,801
  5. Step 5: Solve for x
    x = 1,709,739,801/27,086
  6. Step 6: Final answer
    x = 63,122.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.