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Finding the Third Proportional to 27,114 and 49,728

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Solution

The third proportional to 27,114 and 49,728 is: 91,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114 : 49,728 = 49,728 : x
  2. Step 2: Convert to fraction form
    27,114/49,728 = 49,728/x
  3. Step 3: Cross multiply
    27,114x = 49,728 × 49,728
  4. Step 4: Simplify right side
    27,114x = 2,472,873,984
  5. Step 5: Solve for x
    x = 2,472,873,984/27,114
  6. Step 6: Final answer
    x = 91,202.85

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.