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Finding the Third Proportional to 11,907 and 19,014.75

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Solution

The third proportional to 11,907 and 19,014.75 is: 30,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907 : 19,014.75 = 19,014.75 : x
  2. Step 2: Convert to fraction form
    11,907/19,014.75 = 19,014.75/x
  3. Step 3: Cross multiply
    11,907x = 19,014.75 × 19,014.75
  4. Step 4: Simplify right side
    11,907x = 361,560,717.56
  5. Step 5: Solve for x
    x = 361,560,717.56/11,907
  6. Step 6: Final answer
    x = 30,365.39

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.