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Finding the Third Proportional to 25,656.75 and 41,583.38

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Solution

The third proportional to 25,656.75 and 41,583.38 is: 67,396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,656.75 : 41,583.38 = 41,583.38 : x
  2. Step 2: Convert to fraction form
    25,656.75/41,583.38 = 41,583.38/x
  3. Step 3: Cross multiply
    25,656.75x = 41,583.38 × 41,583.38
  4. Step 4: Simplify right side
    25,656.75x = 1,729,177,076.39
  5. Step 5: Solve for x
    x = 1,729,177,076.39/25,656.75
  6. Step 6: Final answer
    x = 67,396.58

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.