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Finding the Third Proportional to 8,029.13 and 12,843.56

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Solution

The third proportional to 8,029.13 and 12,843.56 is: 20,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.13 : 12,843.56 = 12,843.56 : x
  2. Step 2: Convert to fraction form
    8,029.13/12,843.56 = 12,843.56/x
  3. Step 3: Cross multiply
    8,029.13x = 12,843.56 × 12,843.56
  4. Step 4: Simplify right side
    8,029.13x = 164,957,097.69
  5. Step 5: Solve for x
    x = 164,957,097.69/8,029.13
  6. Step 6: Final answer
    x = 20,544.84

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