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Finding the Third Proportional to 3,906.14 and 9,212.06

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Solution

The third proportional to 3,906.14 and 9,212.06 is: 21,725.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.14 : 9,212.06 = 9,212.06 : x
  2. Step 2: Convert to fraction form
    3,906.14/9,212.06 = 9,212.06/x
  3. Step 3: Cross multiply
    3,906.14x = 9,212.06 × 9,212.06
  4. Step 4: Simplify right side
    3,906.14x = 84,862,095.50
  5. Step 5: Solve for x
    x = 84,862,095.50/3,906.14
  6. Step 6: Final answer
    x = 21,725.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.