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Finding the Third Proportional to 7,679.50 and 11,267.25

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Solution

The third proportional to 7,679.50 and 11,267.25 is: 16,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.50 : 11,267.25 = 11,267.25 : x
  2. Step 2: Convert to fraction form
    7,679.50/11,267.25 = 11,267.25/x
  3. Step 3: Cross multiply
    7,679.50x = 11,267.25 × 11,267.25
  4. Step 4: Simplify right side
    7,679.50x = 126,950,922.56
  5. Step 5: Solve for x
    x = 126,950,922.56/7,679.50
  6. Step 6: Final answer
    x = 16,531.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.