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Finding the Third Proportional to 22,843.75 and 35,843.25

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Solution

The third proportional to 22,843.75 and 35,843.25 is: 56,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,843.75 : 35,843.25 = 35,843.25 : x
  2. Step 2: Convert to fraction form
    22,843.75/35,843.25 = 35,843.25/x
  3. Step 3: Cross multiply
    22,843.75x = 35,843.25 × 35,843.25
  4. Step 4: Simplify right side
    22,843.75x = 1,284,738,570.56
  5. Step 5: Solve for x
    x = 1,284,738,570.56/22,843.75
  6. Step 6: Final answer
    x = 56,240.27

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.