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Finding the Third Proportional to 9,278 and 19,198

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Solution

The third proportional to 9,278 and 19,198 is: 39,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278 : 19,198 = 19,198 : x
  2. Step 2: Convert to fraction form
    9,278/19,198 = 19,198/x
  3. Step 3: Cross multiply
    9,278x = 19,198 × 19,198
  4. Step 4: Simplify right side
    9,278x = 368,563,204
  5. Step 5: Solve for x
    x = 368,563,204/9,278
  6. Step 6: Final answer
    x = 39,724.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.