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Finding the Third Proportional to 12,106 and 19,204

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Solution

The third proportional to 12,106 and 19,204 is: 30,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106 : 19,204 = 19,204 : x
  2. Step 2: Convert to fraction form
    12,106/19,204 = 19,204/x
  3. Step 3: Cross multiply
    12,106x = 19,204 × 19,204
  4. Step 4: Simplify right side
    12,106x = 368,793,616
  5. Step 5: Solve for x
    x = 368,793,616/12,106
  6. Step 6: Final answer
    x = 30,463.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.