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Finding the Third Proportional to 23,288 and 49,204

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Solution

The third proportional to 23,288 and 49,204 is: 103,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,288 : 49,204 = 49,204 : x
  2. Step 2: Convert to fraction form
    23,288/49,204 = 49,204/x
  3. Step 3: Cross multiply
    23,288x = 49,204 × 49,204
  4. Step 4: Simplify right side
    23,288x = 2,421,033,616
  5. Step 5: Solve for x
    x = 2,421,033,616/23,288
  6. Step 6: Final answer
    x = 103,960.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.