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Finding the Third Proportional to 23,496 and 33,978

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Solution

The third proportional to 23,496 and 33,978 is: 49,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496 : 33,978 = 33,978 : x
  2. Step 2: Convert to fraction form
    23,496/33,978 = 33,978/x
  3. Step 3: Cross multiply
    23,496x = 33,978 × 33,978
  4. Step 4: Simplify right side
    23,496x = 1,154,504,484
  5. Step 5: Solve for x
    x = 1,154,504,484/23,496
  6. Step 6: Final answer
    x = 49,136.21

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.