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Finding the Third Proportional to 26,096 and 40,424

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Solution

The third proportional to 26,096 and 40,424 is: 62,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,096 : 40,424 = 40,424 : x
  2. Step 2: Convert to fraction form
    26,096/40,424 = 40,424/x
  3. Step 3: Cross multiply
    26,096x = 40,424 × 40,424
  4. Step 4: Simplify right side
    26,096x = 1,634,099,776
  5. Step 5: Solve for x
    x = 1,634,099,776/26,096
  6. Step 6: Final answer
    x = 62,618.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.