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Finding the Third Proportional to 27,939.94 and 57,110.06

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Solution

The third proportional to 27,939.94 and 57,110.06 is: 116,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,939.94 : 57,110.06 = 57,110.06 : x
  2. Step 2: Convert to fraction form
    27,939.94/57,110.06 = 57,110.06/x
  3. Step 3: Cross multiply
    27,939.94x = 57,110.06 × 57,110.06
  4. Step 4: Simplify right side
    27,939.94x = 3,261,559,238.75
  5. Step 5: Solve for x
    x = 3,261,559,238.75/27,939.94
  6. Step 6: Final answer
    x = 116,734.66

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.