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Finding the Third Proportional to 23,976 and 31,995

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Solution

The third proportional to 23,976 and 31,995 is: 42,696.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,976 : 31,995 = 31,995 : x
  2. Step 2: Convert to fraction form
    23,976/31,995 = 31,995/x
  3. Step 3: Cross multiply
    23,976x = 31,995 × 31,995
  4. Step 4: Simplify right side
    23,976x = 1,023,680,025
  5. Step 5: Solve for x
    x = 1,023,680,025/23,976
  6. Step 6: Final answer
    x = 42,696.03

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.