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Finding the Third Proportional to 23,834.25 and 35,741.25

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Solution

The third proportional to 23,834.25 and 35,741.25 is: 53,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834.25 : 35,741.25 = 35,741.25 : x
  2. Step 2: Convert to fraction form
    23,834.25/35,741.25 = 35,741.25/x
  3. Step 3: Cross multiply
    23,834.25x = 35,741.25 × 35,741.25
  4. Step 4: Simplify right side
    23,834.25x = 1,277,436,951.56
  5. Step 5: Solve for x
    x = 1,277,436,951.56/23,834.25
  6. Step 6: Final answer
    x = 53,596.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.