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Finding the Third Proportional to 4,093.75 and 9,622.75

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Solution

The third proportional to 4,093.75 and 9,622.75 is: 22,619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.75 : 9,622.75 = 9,622.75 : x
  2. Step 2: Convert to fraction form
    4,093.75/9,622.75 = 9,622.75/x
  3. Step 3: Cross multiply
    4,093.75x = 9,622.75 × 9,622.75
  4. Step 4: Simplify right side
    4,093.75x = 92,597,317.56
  5. Step 5: Solve for x
    x = 92,597,317.56/4,093.75
  6. Step 6: Final answer
    x = 22,619.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.