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Finding the Third Proportional to 11,907 and 18,103.50

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Solution

The third proportional to 11,907 and 18,103.50 is: 27,524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907 : 18,103.50 = 18,103.50 : x
  2. Step 2: Convert to fraction form
    11,907/18,103.50 = 18,103.50/x
  3. Step 3: Cross multiply
    11,907x = 18,103.50 × 18,103.50
  4. Step 4: Simplify right side
    11,907x = 327,736,712.25
  5. Step 5: Solve for x
    x = 327,736,712.25/11,907
  6. Step 6: Final answer
    x = 27,524.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.