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Finding the Third Proportional to 27,972 and 55,923

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Solution

The third proportional to 27,972 and 55,923 is: 111,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,972 : 55,923 = 55,923 : x
  2. Step 2: Convert to fraction form
    27,972/55,923 = 55,923/x
  3. Step 3: Cross multiply
    27,972x = 55,923 × 55,923
  4. Step 4: Simplify right side
    27,972x = 3,127,381,929
  5. Step 5: Solve for x
    x = 3,127,381,929/27,972
  6. Step 6: Final answer
    x = 111,804.02

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.