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Finding the Third Proportional to 25,177.75 and 35,292.25

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Solution

The third proportional to 25,177.75 and 35,292.25 is: 49,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,177.75 : 35,292.25 = 35,292.25 : x
  2. Step 2: Convert to fraction form
    25,177.75/35,292.25 = 35,292.25/x
  3. Step 3: Cross multiply
    25,177.75x = 35,292.25 × 35,292.25
  4. Step 4: Simplify right side
    25,177.75x = 1,245,542,910.06
  5. Step 5: Solve for x
    x = 1,245,542,910.06/25,177.75
  6. Step 6: Final answer
    x = 49,469.98

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.