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Finding the Third Proportional to 6,086.06 and 9,104.77

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Solution

The third proportional to 6,086.06 and 9,104.77 is: 13,620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.06 : 9,104.77 = 9,104.77 : x
  2. Step 2: Convert to fraction form
    6,086.06/9,104.77 = 9,104.77/x
  3. Step 3: Cross multiply
    6,086.06x = 9,104.77 × 9,104.77
  4. Step 4: Simplify right side
    6,086.06x = 82,896,819.60
  5. Step 5: Solve for x
    x = 82,896,819.60/6,086.06
  6. Step 6: Final answer
    x = 13,620.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.