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Finding the Third Proportional to 12,811.50 and 19,793.25

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Solution

The third proportional to 12,811.50 and 19,793.25 is: 30,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.50 : 19,793.25 = 19,793.25 : x
  2. Step 2: Convert to fraction form
    12,811.50/19,793.25 = 19,793.25/x
  3. Step 3: Cross multiply
    12,811.50x = 19,793.25 × 19,793.25
  4. Step 4: Simplify right side
    12,811.50x = 391,772,745.56
  5. Step 5: Solve for x
    x = 391,772,745.56/12,811.50
  6. Step 6: Final answer
    x = 30,579.77

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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.