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Finding the Third Proportional to 24,870 and 51,198

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Solution

The third proportional to 24,870 and 51,198 is: 105,397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,870 : 51,198 = 51,198 : x
  2. Step 2: Convert to fraction form
    24,870/51,198 = 51,198/x
  3. Step 3: Cross multiply
    24,870x = 51,198 × 51,198
  4. Step 4: Simplify right side
    24,870x = 2,621,235,204
  5. Step 5: Solve for x
    x = 2,621,235,204/24,870
  6. Step 6: Final answer
    x = 105,397.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.