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Finding the Third Proportional to 9,906.75 and 13,584.38

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Solution

The third proportional to 9,906.75 and 13,584.38 is: 18,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.75 : 13,584.38 = 13,584.38 : x
  2. Step 2: Convert to fraction form
    9,906.75/13,584.38 = 13,584.38/x
  3. Step 3: Cross multiply
    9,906.75x = 13,584.38 × 13,584.38
  4. Step 4: Simplify right side
    9,906.75x = 184,535,244.14
  5. Step 5: Solve for x
    x = 184,535,244.14/9,906.75
  6. Step 6: Final answer
    x = 18,627.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.