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Finding the Third Proportional to 13,857.75 and 27,023.25

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Solution

The third proportional to 13,857.75 and 27,023.25 is: 52,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.75 : 27,023.25 = 27,023.25 : x
  2. Step 2: Convert to fraction form
    13,857.75/27,023.25 = 27,023.25/x
  3. Step 3: Cross multiply
    13,857.75x = 27,023.25 × 27,023.25
  4. Step 4: Simplify right side
    13,857.75x = 730,256,040.56
  5. Step 5: Solve for x
    x = 730,256,040.56/13,857.75
  6. Step 6: Final answer
    x = 52,696.58

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.