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Finding the Third Proportional to 24,923 and 41,538

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Solution

The third proportional to 24,923 and 41,538 is: 69,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,923 : 41,538 = 41,538 : x
  2. Step 2: Convert to fraction form
    24,923/41,538 = 41,538/x
  3. Step 3: Cross multiply
    24,923x = 41,538 × 41,538
  4. Step 4: Simplify right side
    24,923x = 1,725,405,444
  5. Step 5: Solve for x
    x = 1,725,405,444/24,923
  6. Step 6: Final answer
    x = 69,229.44

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.