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Finding the Third Proportional to 5,996.06 and 13,083.94

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Solution

The third proportional to 5,996.06 and 13,083.94 is: 28,550.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.06 : 13,083.94 = 13,083.94 : x
  2. Step 2: Convert to fraction form
    5,996.06/13,083.94 = 13,083.94/x
  3. Step 3: Cross multiply
    5,996.06x = 13,083.94 × 13,083.94
  4. Step 4: Simplify right side
    5,996.06x = 171,189,420.50
  5. Step 5: Solve for x
    x = 171,189,420.50/5,996.06
  6. Step 6: Final answer
    x = 28,550.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.