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Finding the Third Proportional to 11,286.75 and 17,558.25

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Solution

The third proportional to 11,286.75 and 17,558.25 is: 27,314.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.75 : 17,558.25 = 17,558.25 : x
  2. Step 2: Convert to fraction form
    11,286.75/17,558.25 = 17,558.25/x
  3. Step 3: Cross multiply
    11,286.75x = 17,558.25 × 17,558.25
  4. Step 4: Simplify right side
    11,286.75x = 308,292,143.06
  5. Step 5: Solve for x
    x = 308,292,143.06/11,286.75
  6. Step 6: Final answer
    x = 27,314.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.