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Finding the Third Proportional to 2,372.69 and 3,467.56

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Solution

The third proportional to 2,372.69 and 3,467.56 is: 5,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.69 : 3,467.56 = 3,467.56 : x
  2. Step 2: Convert to fraction form
    2,372.69/3,467.56 = 3,467.56/x
  3. Step 3: Cross multiply
    2,372.69x = 3,467.56 × 3,467.56
  4. Step 4: Simplify right side
    2,372.69x = 12,023,989.69
  5. Step 5: Solve for x
    x = 12,023,989.69/2,372.69
  6. Step 6: Final answer
    x = 5,067.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.