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Finding the Third Proportional to 22,245.75 and 30,027

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Solution

The third proportional to 22,245.75 and 30,027 is: 40,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,245.75 : 30,027 = 30,027 : x
  2. Step 2: Convert to fraction form
    22,245.75/30,027 = 30,027/x
  3. Step 3: Cross multiply
    22,245.75x = 30,027 × 30,027
  4. Step 4: Simplify right side
    22,245.75x = 901,620,729
  5. Step 5: Solve for x
    x = 901,620,729/22,245.75
  6. Step 6: Final answer
    x = 40,530.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.