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Finding the Third Proportional to 9,556.73 and 14,021.86

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Solution

The third proportional to 9,556.73 and 14,021.86 is: 20,573.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.73 : 14,021.86 = 14,021.86 : x
  2. Step 2: Convert to fraction form
    9,556.73/14,021.86 = 14,021.86/x
  3. Step 3: Cross multiply
    9,556.73x = 14,021.86 × 14,021.86
  4. Step 4: Simplify right side
    9,556.73x = 196,612,540.33
  5. Step 5: Solve for x
    x = 196,612,540.33/9,556.73
  6. Step 6: Final answer
    x = 20,573.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.