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Finding the Third Proportional to 6,081.88 and 9,166.31

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Solution

The third proportional to 6,081.88 and 9,166.31 is: 13,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,081.88 : 9,166.31 = 9,166.31 : x
  2. Step 2: Convert to fraction form
    6,081.88/9,166.31 = 9,166.31/x
  3. Step 3: Cross multiply
    6,081.88x = 9,166.31 × 9,166.31
  4. Step 4: Simplify right side
    6,081.88x = 84,021,284.85
  5. Step 5: Solve for x
    x = 84,021,284.85/6,081.88
  6. Step 6: Final answer
    x = 13,815.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.