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Finding the Third Proportional to 6,016.39 and 13,166.85

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Solution

The third proportional to 6,016.39 and 13,166.85 is: 28,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.39 : 13,166.85 = 13,166.85 : x
  2. Step 2: Convert to fraction form
    6,016.39/13,166.85 = 13,166.85/x
  3. Step 3: Cross multiply
    6,016.39x = 13,166.85 × 13,166.85
  4. Step 4: Simplify right side
    6,016.39x = 173,365,954.35
  5. Step 5: Solve for x
    x = 173,365,954.35/6,016.39
  6. Step 6: Final answer
    x = 28,815.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.