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Finding the Third Proportional to 22,752 and 49,204

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Solution

The third proportional to 22,752 and 49,204 is: 106,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752 : 49,204 = 49,204 : x
  2. Step 2: Convert to fraction form
    22,752/49,204 = 49,204/x
  3. Step 3: Cross multiply
    22,752x = 49,204 × 49,204
  4. Step 4: Simplify right side
    22,752x = 2,421,033,616
  5. Step 5: Solve for x
    x = 2,421,033,616/22,752
  6. Step 6: Final answer
    x = 106,409.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.