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Finding the Third Proportional to 4,163.75 and 8,919.75

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Solution

The third proportional to 4,163.75 and 8,919.75 is: 19,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.75 : 8,919.75 = 8,919.75 : x
  2. Step 2: Convert to fraction form
    4,163.75/8,919.75 = 8,919.75/x
  3. Step 3: Cross multiply
    4,163.75x = 8,919.75 × 8,919.75
  4. Step 4: Simplify right side
    4,163.75x = 79,561,940.06
  5. Step 5: Solve for x
    x = 79,561,940.06/4,163.75
  6. Step 6: Final answer
    x = 19,108.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.