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Finding the Third Proportional to 11,794.50 and 19,023.75

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Solution

The third proportional to 11,794.50 and 19,023.75 is: 30,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.50 : 19,023.75 = 19,023.75 : x
  2. Step 2: Convert to fraction form
    11,794.50/19,023.75 = 19,023.75/x
  3. Step 3: Cross multiply
    11,794.50x = 19,023.75 × 19,023.75
  4. Step 4: Simplify right side
    11,794.50x = 361,903,064.06
  5. Step 5: Solve for x
    x = 361,903,064.06/11,794.50
  6. Step 6: Final answer
    x = 30,684.05

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.