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Finding the Third Proportional to 481.22 and 1,135.41

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Solution

The third proportional to 481.22 and 1,135.41 is: 2,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.22 : 1,135.41 = 1,135.41 : x
  2. Step 2: Convert to fraction form
    481.22/1,135.41 = 1,135.41/x
  3. Step 3: Cross multiply
    481.22x = 1,135.41 × 1,135.41
  4. Step 4: Simplify right side
    481.22x = 1,289,147.35
  5. Step 5: Solve for x
    x = 1,289,147.35/481.22
  6. Step 6: Final answer
    x = 2,678.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.