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Finding the Third Proportional to 23,593 and 33,071

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Solution

The third proportional to 23,593 and 33,071 is: 46,356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,593 : 33,071 = 33,071 : x
  2. Step 2: Convert to fraction form
    23,593/33,071 = 33,071/x
  3. Step 3: Cross multiply
    23,593x = 33,071 × 33,071
  4. Step 4: Simplify right side
    23,593x = 1,093,691,041
  5. Step 5: Solve for x
    x = 1,093,691,041/23,593
  6. Step 6: Final answer
    x = 46,356.59

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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.