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Finding the Third Proportional to 23,816 and 35,939

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Solution

The third proportional to 23,816 and 35,939 is: 54,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816 : 35,939 = 35,939 : x
  2. Step 2: Convert to fraction form
    23,816/35,939 = 35,939/x
  3. Step 3: Cross multiply
    23,816x = 35,939 × 35,939
  4. Step 4: Simplify right side
    23,816x = 1,291,611,721
  5. Step 5: Solve for x
    x = 1,291,611,721/23,816
  6. Step 6: Final answer
    x = 54,232.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.