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Finding the Third Proportional to 6,081.75 and 13,226.63

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Solution

The third proportional to 6,081.75 and 13,226.63 is: 28,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,081.75 : 13,226.63 = 13,226.63 : x
  2. Step 2: Convert to fraction form
    6,081.75/13,226.63 = 13,226.63/x
  3. Step 3: Cross multiply
    6,081.75x = 13,226.63 × 13,226.63
  4. Step 4: Simplify right side
    6,081.75x = 174,943,608.89
  5. Step 5: Solve for x
    x = 174,943,608.89/6,081.75
  6. Step 6: Final answer
    x = 28,765.34

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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.