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Finding the Third Proportional to 8,003.81 and 12,556.27

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Solution

The third proportional to 8,003.81 and 12,556.27 is: 19,698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.81 : 12,556.27 = 12,556.27 : x
  2. Step 2: Convert to fraction form
    8,003.81/12,556.27 = 12,556.27/x
  3. Step 3: Cross multiply
    8,003.81x = 12,556.27 × 12,556.27
  4. Step 4: Simplify right side
    8,003.81x = 157,659,806.45
  5. Step 5: Solve for x
    x = 157,659,806.45/8,003.81
  6. Step 6: Final answer
    x = 19,698.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.