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Finding the Third Proportional to 27,027 and 55,728

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Solution

The third proportional to 27,027 and 55,728 is: 114,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,027 : 55,728 = 55,728 : x
  2. Step 2: Convert to fraction form
    27,027/55,728 = 55,728/x
  3. Step 3: Cross multiply
    27,027x = 55,728 × 55,728
  4. Step 4: Simplify right side
    27,027x = 3,105,609,984
  5. Step 5: Solve for x
    x = 3,105,609,984/27,027
  6. Step 6: Final answer
    x = 114,907.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.