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Finding the Third Proportional to 12,099 and 18,499.50

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Solution

The third proportional to 12,099 and 18,499.50 is: 28,285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099 : 18,499.50 = 18,499.50 : x
  2. Step 2: Convert to fraction form
    12,099/18,499.50 = 18,499.50/x
  3. Step 3: Cross multiply
    12,099x = 18,499.50 × 18,499.50
  4. Step 4: Simplify right side
    12,099x = 342,231,500.25
  5. Step 5: Solve for x
    x = 342,231,500.25/12,099
  6. Step 6: Final answer
    x = 28,285.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.