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Finding the Third Proportional to 23,548 and 33,012

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Solution

The third proportional to 23,548 and 33,012 is: 46,279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,548 : 33,012 = 33,012 : x
  2. Step 2: Convert to fraction form
    23,548/33,012 = 33,012/x
  3. Step 3: Cross multiply
    23,548x = 33,012 × 33,012
  4. Step 4: Simplify right side
    23,548x = 1,089,792,144
  5. Step 5: Solve for x
    x = 1,089,792,144/23,548
  6. Step 6: Final answer
    x = 46,279.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.