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Finding the Third Proportional to 7,672.50 and 11,847.94

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Solution

The third proportional to 7,672.50 and 11,847.94 is: 18,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.50 : 11,847.94 = 11,847.94 : x
  2. Step 2: Convert to fraction form
    7,672.50/11,847.94 = 11,847.94/x
  3. Step 3: Cross multiply
    7,672.50x = 11,847.94 × 11,847.94
  4. Step 4: Simplify right side
    7,672.50x = 140,373,623.00
  5. Step 5: Solve for x
    x = 140,373,623.00/7,672.50
  6. Step 6: Final answer
    x = 18,295.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.