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Finding the Third Proportional to 25,989.75 and 41,853.38

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Solution

The third proportional to 25,989.75 and 41,853.38 is: 67,399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,989.75 : 41,853.38 = 41,853.38 : x
  2. Step 2: Convert to fraction form
    25,989.75/41,853.38 = 41,853.38/x
  3. Step 3: Cross multiply
    25,989.75x = 41,853.38 × 41,853.38
  4. Step 4: Simplify right side
    25,989.75x = 1,751,704,998.89
  5. Step 5: Solve for x
    x = 1,751,704,998.89/25,989.75
  6. Step 6: Final answer
    x = 67,399.84

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.