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Finding the Third Proportional to 22,728 and 49,152

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Solution

The third proportional to 22,728 and 49,152 is: 106,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,728 : 49,152 = 49,152 : x
  2. Step 2: Convert to fraction form
    22,728/49,152 = 49,152/x
  3. Step 3: Cross multiply
    22,728x = 49,152 × 49,152
  4. Step 4: Simplify right side
    22,728x = 2,415,919,104
  5. Step 5: Solve for x
    x = 2,415,919,104/22,728
  6. Step 6: Final answer
    x = 106,297.04

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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.