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Finding the Third Proportional to 23,859 and 34,231.50

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Solution

The third proportional to 23,859 and 34,231.50 is: 49,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,859 : 34,231.50 = 34,231.50 : x
  2. Step 2: Convert to fraction form
    23,859/34,231.50 = 34,231.50/x
  3. Step 3: Cross multiply
    23,859x = 34,231.50 × 34,231.50
  4. Step 4: Simplify right side
    23,859x = 1,171,795,592.25
  5. Step 5: Solve for x
    x = 1,171,795,592.25/23,859
  6. Step 6: Final answer
    x = 49,113.36

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.