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Finding the Third Proportional to 27,191 and 40,761

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Solution

The third proportional to 27,191 and 40,761 is: 61,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,191 : 40,761 = 40,761 : x
  2. Step 2: Convert to fraction form
    27,191/40,761 = 40,761/x
  3. Step 3: Cross multiply
    27,191x = 40,761 × 40,761
  4. Step 4: Simplify right side
    27,191x = 1,661,459,121
  5. Step 5: Solve for x
    x = 1,661,459,121/27,191
  6. Step 6: Final answer
    x = 61,103.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.