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Finding the Third Proportional to 23,805 and 34,375.50

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Solution

The third proportional to 23,805 and 34,375.50 is: 49,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805 : 34,375.50 = 34,375.50 : x
  2. Step 2: Convert to fraction form
    23,805/34,375.50 = 34,375.50/x
  3. Step 3: Cross multiply
    23,805x = 34,375.50 × 34,375.50
  4. Step 4: Simplify right side
    23,805x = 1,181,675,000.25
  5. Step 5: Solve for x
    x = 1,181,675,000.25/23,805
  6. Step 6: Final answer
    x = 49,639.78

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.