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Finding the Third Proportional to 13,662.42 and 20,506.92

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Solution

The third proportional to 13,662.42 and 20,506.92 is: 30,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.42 : 20,506.92 = 20,506.92 : x
  2. Step 2: Convert to fraction form
    13,662.42/20,506.92 = 20,506.92/x
  3. Step 3: Cross multiply
    13,662.42x = 20,506.92 × 20,506.92
  4. Step 4: Simplify right side
    13,662.42x = 420,533,844.79
  5. Step 5: Solve for x
    x = 420,533,844.79/13,662.42
  6. Step 6: Final answer
    x = 30,780.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.