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Finding the Third Proportional to 25,675.50 and 55,142.25

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Solution

The third proportional to 25,675.50 and 55,142.25 is: 118,426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,675.50 : 55,142.25 = 55,142.25 : x
  2. Step 2: Convert to fraction form
    25,675.50/55,142.25 = 55,142.25/x
  3. Step 3: Cross multiply
    25,675.50x = 55,142.25 × 55,142.25
  4. Step 4: Simplify right side
    25,675.50x = 3,040,667,735.06
  5. Step 5: Solve for x
    x = 3,040,667,735.06/25,675.50
  6. Step 6: Final answer
    x = 118,426.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.