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Finding the Third Proportional to 15,906 and 24,198

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Solution

The third proportional to 15,906 and 24,198 is: 36,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906 : 24,198 = 24,198 : x
  2. Step 2: Convert to fraction form
    15,906/24,198 = 24,198/x
  3. Step 3: Cross multiply
    15,906x = 24,198 × 24,198
  4. Step 4: Simplify right side
    15,906x = 585,543,204
  5. Step 5: Solve for x
    x = 585,543,204/15,906
  6. Step 6: Final answer
    x = 36,812.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.