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Finding the Third Proportional to 14,183.25 and 22,059.75

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Solution

The third proportional to 14,183.25 and 22,059.75 is: 34,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183.25 : 22,059.75 = 22,059.75 : x
  2. Step 2: Convert to fraction form
    14,183.25/22,059.75 = 22,059.75/x
  3. Step 3: Cross multiply
    14,183.25x = 22,059.75 × 22,059.75
  4. Step 4: Simplify right side
    14,183.25x = 486,632,570.06
  5. Step 5: Solve for x
    x = 486,632,570.06/14,183.25
  6. Step 6: Final answer
    x = 34,310.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.