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Finding the Third Proportional to 7,986.50 and 12,091.25

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Solution

The third proportional to 7,986.50 and 12,091.25 is: 18,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.50 : 12,091.25 = 12,091.25 : x
  2. Step 2: Convert to fraction form
    7,986.50/12,091.25 = 12,091.25/x
  3. Step 3: Cross multiply
    7,986.50x = 12,091.25 × 12,091.25
  4. Step 4: Simplify right side
    7,986.50x = 146,198,326.56
  5. Step 5: Solve for x
    x = 146,198,326.56/7,986.50
  6. Step 6: Final answer
    x = 18,305.68

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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.