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Finding the Third Proportional to 23,226.75 and 33,867

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Solution

The third proportional to 23,226.75 and 33,867 is: 49,381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,226.75 : 33,867 = 33,867 : x
  2. Step 2: Convert to fraction form
    23,226.75/33,867 = 33,867/x
  3. Step 3: Cross multiply
    23,226.75x = 33,867 × 33,867
  4. Step 4: Simplify right side
    23,226.75x = 1,146,973,689
  5. Step 5: Solve for x
    x = 1,146,973,689/23,226.75
  6. Step 6: Final answer
    x = 49,381.58

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.