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Finding the Third Proportional to 6,083.44 and 13,199.63

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Solution

The third proportional to 6,083.44 and 13,199.63 is: 28,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.44 : 13,199.63 = 13,199.63 : x
  2. Step 2: Convert to fraction form
    6,083.44/13,199.63 = 13,199.63/x
  3. Step 3: Cross multiply
    6,083.44x = 13,199.63 × 13,199.63
  4. Step 4: Simplify right side
    6,083.44x = 174,230,100.14
  5. Step 5: Solve for x
    x = 174,230,100.14/6,083.44
  6. Step 6: Final answer
    x = 28,640.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.