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Finding the Third Proportional to 23,544 and 51,741

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Solution

The third proportional to 23,544 and 51,741 is: 113,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,544 : 51,741 = 51,741 : x
  2. Step 2: Convert to fraction form
    23,544/51,741 = 51,741/x
  3. Step 3: Cross multiply
    23,544x = 51,741 × 51,741
  4. Step 4: Simplify right side
    23,544x = 2,677,131,081
  5. Step 5: Solve for x
    x = 2,677,131,081/23,544
  6. Step 6: Final answer
    x = 113,707.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.