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Finding the Third Proportional to 26,096 and 34,956

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Solution

The third proportional to 26,096 and 34,956 is: 46,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,096 : 34,956 = 34,956 : x
  2. Step 2: Convert to fraction form
    26,096/34,956 = 34,956/x
  3. Step 3: Cross multiply
    26,096x = 34,956 × 34,956
  4. Step 4: Simplify right side
    26,096x = 1,221,921,936
  5. Step 5: Solve for x
    x = 1,221,921,936/26,096
  6. Step 6: Final answer
    x = 46,824.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.