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Finding the Third Proportional to 24,668 and 51,384

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Solution

The third proportional to 24,668 and 51,384 is: 107,034.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,668 : 51,384 = 51,384 : x
  2. Step 2: Convert to fraction form
    24,668/51,384 = 51,384/x
  3. Step 3: Cross multiply
    24,668x = 51,384 × 51,384
  4. Step 4: Simplify right side
    24,668x = 2,640,315,456
  5. Step 5: Solve for x
    x = 2,640,315,456/24,668
  6. Step 6: Final answer
    x = 107,034.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.