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Finding the Third Proportional to 23,571 and 33,223.50

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Solution

The third proportional to 23,571 and 33,223.50 is: 46,828.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,571 : 33,223.50 = 33,223.50 : x
  2. Step 2: Convert to fraction form
    23,571/33,223.50 = 33,223.50/x
  3. Step 3: Cross multiply
    23,571x = 33,223.50 × 33,223.50
  4. Step 4: Simplify right side
    23,571x = 1,103,800,952.25
  5. Step 5: Solve for x
    x = 1,103,800,952.25/23,571
  6. Step 6: Final answer
    x = 46,828.77

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.