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Finding the Third Proportional to 13,793.63 and 18,636.75

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Solution

The third proportional to 13,793.63 and 18,636.75 is: 25,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.63 : 18,636.75 = 18,636.75 : x
  2. Step 2: Convert to fraction form
    13,793.63/18,636.75 = 18,636.75/x
  3. Step 3: Cross multiply
    13,793.63x = 18,636.75 × 18,636.75
  4. Step 4: Simplify right side
    13,793.63x = 347,328,450.56
  5. Step 5: Solve for x
    x = 347,328,450.56/13,793.63
  6. Step 6: Final answer
    x = 25,180.36

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.