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Finding the Third Proportional to 3,716.25 and 5,574.75

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Solution

The third proportional to 3,716.25 and 5,574.75 is: 8,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.25 : 5,574.75 = 5,574.75 : x
  2. Step 2: Convert to fraction form
    3,716.25/5,574.75 = 5,574.75/x
  3. Step 3: Cross multiply
    3,716.25x = 5,574.75 × 5,574.75
  4. Step 4: Simplify right side
    3,716.25x = 31,077,837.56
  5. Step 5: Solve for x
    x = 31,077,837.56/3,716.25
  6. Step 6: Final answer
    x = 8,362.69

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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.