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Finding the Third Proportional to 23,059 and 35,257

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Solution

The third proportional to 23,059 and 35,257 is: 53,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,059 : 35,257 = 35,257 : x
  2. Step 2: Convert to fraction form
    23,059/35,257 = 35,257/x
  3. Step 3: Cross multiply
    23,059x = 35,257 × 35,257
  4. Step 4: Simplify right side
    23,059x = 1,243,056,049
  5. Step 5: Solve for x
    x = 1,243,056,049/23,059
  6. Step 6: Final answer
    x = 53,907.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.