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Finding the Third Proportional to 11,800.69 and 18,847.69

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Solution

The third proportional to 11,800.69 and 18,847.69 is: 30,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.69 : 18,847.69 = 18,847.69 : x
  2. Step 2: Convert to fraction form
    11,800.69/18,847.69 = 18,847.69/x
  3. Step 3: Cross multiply
    11,800.69x = 18,847.69 × 18,847.69
  4. Step 4: Simplify right side
    11,800.69x = 355,235,324.10
  5. Step 5: Solve for x
    x = 355,235,324.10/11,800.69
  6. Step 6: Final answer
    x = 30,102.93

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.