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Finding the Third Proportional to 27,369 and 41,249.25

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Solution

The third proportional to 27,369 and 41,249.25 is: 62,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,369 : 41,249.25 = 41,249.25 : x
  2. Step 2: Convert to fraction form
    27,369/41,249.25 = 41,249.25/x
  3. Step 3: Cross multiply
    27,369x = 41,249.25 × 41,249.25
  4. Step 4: Simplify right side
    27,369x = 1,701,500,625.56
  5. Step 5: Solve for x
    x = 1,701,500,625.56/27,369
  6. Step 6: Final answer
    x = 62,168.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.