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Finding the Third Proportional to 20,446.03 and 30,771.42

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Solution

The third proportional to 20,446.03 and 30,771.42 is: 46,311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446.03 : 30,771.42 = 30,771.42 : x
  2. Step 2: Convert to fraction form
    20,446.03/30,771.42 = 30,771.42/x
  3. Step 3: Cross multiply
    20,446.03x = 30,771.42 × 30,771.42
  4. Step 4: Simplify right side
    20,446.03x = 946,880,404.21
  5. Step 5: Solve for x
    x = 946,880,404.21/20,446.03
  6. Step 6: Final answer
    x = 46,311.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.