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Finding the Third Proportional to 2,450.67 and 3,750.05

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Solution

The third proportional to 2,450.67 and 3,750.05 is: 5,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.67 : 3,750.05 = 3,750.05 : x
  2. Step 2: Convert to fraction form
    2,450.67/3,750.05 = 3,750.05/x
  3. Step 3: Cross multiply
    2,450.67x = 3,750.05 × 3,750.05
  4. Step 4: Simplify right side
    2,450.67x = 14,062,851.56
  5. Step 5: Solve for x
    x = 14,062,851.56/2,450.67
  6. Step 6: Final answer
    x = 5,738.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.