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Finding the Third Proportional to 4,066 and 9,059

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Solution

The third proportional to 4,066 and 9,059 is: 20,183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066 : 9,059 = 9,059 : x
  2. Step 2: Convert to fraction form
    4,066/9,059 = 9,059/x
  3. Step 3: Cross multiply
    4,066x = 9,059 × 9,059
  4. Step 4: Simplify right side
    4,066x = 82,065,481
  5. Step 5: Solve for x
    x = 82,065,481/4,066
  6. Step 6: Final answer
    x = 20,183.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.