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Finding the Third Proportional to 3,816.50 and 5,716.75

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Solution

The third proportional to 3,816.50 and 5,716.75 is: 8,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.50 : 5,716.75 = 5,716.75 : x
  2. Step 2: Convert to fraction form
    3,816.50/5,716.75 = 5,716.75/x
  3. Step 3: Cross multiply
    3,816.50x = 5,716.75 × 5,716.75
  4. Step 4: Simplify right side
    3,816.50x = 32,681,230.56
  5. Step 5: Solve for x
    x = 32,681,230.56/3,816.50
  6. Step 6: Final answer
    x = 8,563.14

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Why These Related Problems?

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