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Finding the Third Proportional to 9,922 and 15,198

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Solution

The third proportional to 9,922 and 15,198 is: 23,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922 : 15,198 = 15,198 : x
  2. Step 2: Convert to fraction form
    9,922/15,198 = 15,198/x
  3. Step 3: Cross multiply
    9,922x = 15,198 × 15,198
  4. Step 4: Simplify right side
    9,922x = 230,979,204
  5. Step 5: Solve for x
    x = 230,979,204/9,922
  6. Step 6: Final answer
    x = 23,279.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.