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Finding the Third Proportional to 11,782.34 and 16,481.39

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Solution

The third proportional to 11,782.34 and 16,481.39 is: 23,054.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.34 : 16,481.39 = 16,481.39 : x
  2. Step 2: Convert to fraction form
    11,782.34/16,481.39 = 16,481.39/x
  3. Step 3: Cross multiply
    11,782.34x = 16,481.39 × 16,481.39
  4. Step 4: Simplify right side
    11,782.34x = 271,636,236.93
  5. Step 5: Solve for x
    x = 271,636,236.93/11,782.34
  6. Step 6: Final answer
    x = 23,054.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.