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Finding the Third Proportional to 3,766 and 4,450

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Solution

The third proportional to 3,766 and 4,450 is: 5,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766 : 4,450 = 4,450 : x
  2. Step 2: Convert to fraction form
    3,766/4,450 = 4,450/x
  3. Step 3: Cross multiply
    3,766x = 4,450 × 4,450
  4. Step 4: Simplify right side
    3,766x = 19,802,500
  5. Step 5: Solve for x
    x = 19,802,500/3,766
  6. Step 6: Final answer
    x = 5,258.23

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.