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Finding the Third Proportional to 20,563.88 and 30,758.48

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Solution

The third proportional to 20,563.88 and 30,758.48 is: 46,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.88 : 30,758.48 = 30,758.48 : x
  2. Step 2: Convert to fraction form
    20,563.88/30,758.48 = 30,758.48/x
  3. Step 3: Cross multiply
    20,563.88x = 30,758.48 × 30,758.48
  4. Step 4: Simplify right side
    20,563.88x = 946,084,361.05
  5. Step 5: Solve for x
    x = 946,084,361.05/20,563.88
  6. Step 6: Final answer
    x = 46,007.11

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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.