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Finding the Third Proportional to 3,921.75 and 9,662.06

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Solution

The third proportional to 3,921.75 and 9,662.06 is: 23,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.75 : 9,662.06 = 9,662.06 : x
  2. Step 2: Convert to fraction form
    3,921.75/9,662.06 = 9,662.06/x
  3. Step 3: Cross multiply
    3,921.75x = 9,662.06 × 9,662.06
  4. Step 4: Simplify right side
    3,921.75x = 93,355,451.75
  5. Step 5: Solve for x
    x = 93,355,451.75/3,921.75
  6. Step 6: Final answer
    x = 23,804.54

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.