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Finding the Third Proportional to 27,157 and 36,544

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Solution

The third proportional to 27,157 and 36,544 is: 49,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,157 : 36,544 = 36,544 : x
  2. Step 2: Convert to fraction form
    27,157/36,544 = 36,544/x
  3. Step 3: Cross multiply
    27,157x = 36,544 × 36,544
  4. Step 4: Simplify right side
    27,157x = 1,335,463,936
  5. Step 5: Solve for x
    x = 1,335,463,936/27,157
  6. Step 6: Final answer
    x = 49,175.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.