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Finding the Third Proportional to 4,077 and 9,240.75

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Solution

The third proportional to 4,077 and 9,240.75 is: 20,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077 : 9,240.75 = 9,240.75 : x
  2. Step 2: Convert to fraction form
    4,077/9,240.75 = 9,240.75/x
  3. Step 3: Cross multiply
    4,077x = 9,240.75 × 9,240.75
  4. Step 4: Simplify right side
    4,077x = 85,391,460.56
  5. Step 5: Solve for x
    x = 85,391,460.56/4,077
  6. Step 6: Final answer
    x = 20,944.68

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.