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Finding the Third Proportional to 23,694 and 50,971.50

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Solution

The third proportional to 23,694 and 50,971.50 is: 109,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694 : 50,971.50 = 50,971.50 : x
  2. Step 2: Convert to fraction form
    23,694/50,971.50 = 50,971.50/x
  3. Step 3: Cross multiply
    23,694x = 50,971.50 × 50,971.50
  4. Step 4: Simplify right side
    23,694x = 2,598,093,812.25
  5. Step 5: Solve for x
    x = 2,598,093,812.25/23,694
  6. Step 6: Final answer
    x = 109,651.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.