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Finding the Third Proportional to 7,986 and 12,089.25

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Solution

The third proportional to 7,986 and 12,089.25 is: 18,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986 : 12,089.25 = 12,089.25 : x
  2. Step 2: Convert to fraction form
    7,986/12,089.25 = 12,089.25/x
  3. Step 3: Cross multiply
    7,986x = 12,089.25 × 12,089.25
  4. Step 4: Simplify right side
    7,986x = 146,149,965.56
  5. Step 5: Solve for x
    x = 146,149,965.56/7,986
  6. Step 6: Final answer
    x = 18,300.77

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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.