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Finding the Third Proportional to 3,977 and 9,191

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Solution

The third proportional to 3,977 and 9,191 is: 21,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977 : 9,191 = 9,191 : x
  2. Step 2: Convert to fraction form
    3,977/9,191 = 9,191/x
  3. Step 3: Cross multiply
    3,977x = 9,191 × 9,191
  4. Step 4: Simplify right side
    3,977x = 84,474,481
  5. Step 5: Solve for x
    x = 84,474,481/3,977
  6. Step 6: Final answer
    x = 21,240.75

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.