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Finding the Third Proportional to 27,186.75 and 57,640.50

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Solution

The third proportional to 27,186.75 and 57,640.50 is: 122,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,186.75 : 57,640.50 = 57,640.50 : x
  2. Step 2: Convert to fraction form
    27,186.75/57,640.50 = 57,640.50/x
  3. Step 3: Cross multiply
    27,186.75x = 57,640.50 × 57,640.50
  4. Step 4: Simplify right side
    27,186.75x = 3,322,427,240.25
  5. Step 5: Solve for x
    x = 3,322,427,240.25/27,186.75
  6. Step 6: Final answer
    x = 122,207.59

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.