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Finding the Third Proportional to 20,571.75 and 30,078

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Solution

The third proportional to 20,571.75 and 30,078 is: 43,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,571.75 : 30,078 = 30,078 : x
  2. Step 2: Convert to fraction form
    20,571.75/30,078 = 30,078/x
  3. Step 3: Cross multiply
    20,571.75x = 30,078 × 30,078
  4. Step 4: Simplify right side
    20,571.75x = 904,686,084
  5. Step 5: Solve for x
    x = 904,686,084/20,571.75
  6. Step 6: Final answer
    x = 43,977.11

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.