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Finding the Third Proportional to 23,859 and 35,059

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Solution

The third proportional to 23,859 and 35,059 is: 51,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,859 : 35,059 = 35,059 : x
  2. Step 2: Convert to fraction form
    23,859/35,059 = 35,059/x
  3. Step 3: Cross multiply
    23,859x = 35,059 × 35,059
  4. Step 4: Simplify right side
    23,859x = 1,229,133,481
  5. Step 5: Solve for x
    x = 1,229,133,481/23,859
  6. Step 6: Final answer
    x = 51,516.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.