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Finding the Third Proportional to 2,505.75 and 3,900.75

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Solution

The third proportional to 2,505.75 and 3,900.75 is: 6,072.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.75 : 3,900.75 = 3,900.75 : x
  2. Step 2: Convert to fraction form
    2,505.75/3,900.75 = 3,900.75/x
  3. Step 3: Cross multiply
    2,505.75x = 3,900.75 × 3,900.75
  4. Step 4: Simplify right side
    2,505.75x = 15,215,850.56
  5. Step 5: Solve for x
    x = 15,215,850.56/2,505.75
  6. Step 6: Final answer
    x = 6,072.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.