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Finding the Third Proportional to 9,734 and 20,116

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Solution

The third proportional to 9,734 and 20,116 is: 41,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734 : 20,116 = 20,116 : x
  2. Step 2: Convert to fraction form
    9,734/20,116 = 20,116/x
  3. Step 3: Cross multiply
    9,734x = 20,116 × 20,116
  4. Step 4: Simplify right side
    9,734x = 404,653,456
  5. Step 5: Solve for x
    x = 404,653,456/9,734
  6. Step 6: Final answer
    x = 41,571.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.