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Finding the Third Proportional to 4,436.44 and 9,556.31

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Solution

The third proportional to 4,436.44 and 9,556.31 is: 20,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,436.44 : 9,556.31 = 9,556.31 : x
  2. Step 2: Convert to fraction form
    4,436.44/9,556.31 = 9,556.31/x
  3. Step 3: Cross multiply
    4,436.44x = 9,556.31 × 9,556.31
  4. Step 4: Simplify right side
    4,436.44x = 91,323,108.60
  5. Step 5: Solve for x
    x = 91,323,108.60/4,436.44
  6. Step 6: Final answer
    x = 20,584.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.