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Finding the Third Proportional to 23,892 and 33,422

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Solution

The third proportional to 23,892 and 33,422 is: 46,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892 : 33,422 = 33,422 : x
  2. Step 2: Convert to fraction form
    23,892/33,422 = 33,422/x
  3. Step 3: Cross multiply
    23,892x = 33,422 × 33,422
  4. Step 4: Simplify right side
    23,892x = 1,117,030,084
  5. Step 5: Solve for x
    x = 1,117,030,084/23,892
  6. Step 6: Final answer
    x = 46,753.31

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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.