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Finding the Third Proportional to 17,096 and 23,096

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Solution

The third proportional to 17,096 and 23,096 is: 31,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096 : 23,096 = 23,096 : x
  2. Step 2: Convert to fraction form
    17,096/23,096 = 23,096/x
  3. Step 3: Cross multiply
    17,096x = 23,096 × 23,096
  4. Step 4: Simplify right side
    17,096x = 533,425,216
  5. Step 5: Solve for x
    x = 533,425,216/17,096
  6. Step 6: Final answer
    x = 31,201.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.