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Finding the Third Proportional to 7,962.75 and 14,163.75

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Solution

The third proportional to 7,962.75 and 14,163.75 is: 25,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962.75 : 14,163.75 = 14,163.75 : x
  2. Step 2: Convert to fraction form
    7,962.75/14,163.75 = 14,163.75/x
  3. Step 3: Cross multiply
    7,962.75x = 14,163.75 × 14,163.75
  4. Step 4: Simplify right side
    7,962.75x = 200,611,814.06
  5. Step 5: Solve for x
    x = 200,611,814.06/7,962.75
  6. Step 6: Final answer
    x = 25,193.79

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.