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Finding the Third Proportional to 8,247.50 and 12,216.50

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Solution

The third proportional to 8,247.50 and 12,216.50 is: 18,095.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247.50 : 12,216.50 = 12,216.50 : x
  2. Step 2: Convert to fraction form
    8,247.50/12,216.50 = 12,216.50/x
  3. Step 3: Cross multiply
    8,247.50x = 12,216.50 × 12,216.50
  4. Step 4: Simplify right side
    8,247.50x = 149,242,872.25
  5. Step 5: Solve for x
    x = 149,242,872.25/8,247.50
  6. Step 6: Final answer
    x = 18,095.53

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.