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Finding the Third Proportional to 24,698 and 52,204

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Solution

The third proportional to 24,698 and 52,204 is: 110,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698 : 52,204 = 52,204 : x
  2. Step 2: Convert to fraction form
    24,698/52,204 = 52,204/x
  3. Step 3: Cross multiply
    24,698x = 52,204 × 52,204
  4. Step 4: Simplify right side
    24,698x = 2,725,257,616
  5. Step 5: Solve for x
    x = 2,725,257,616/24,698
  6. Step 6: Final answer
    x = 110,343.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.