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Finding the Third Proportional to 26,936 and 59,015

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Solution

The third proportional to 26,936 and 59,015 is: 129,297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,936 : 59,015 = 59,015 : x
  2. Step 2: Convert to fraction form
    26,936/59,015 = 59,015/x
  3. Step 3: Cross multiply
    26,936x = 59,015 × 59,015
  4. Step 4: Simplify right side
    26,936x = 3,482,770,225
  5. Step 5: Solve for x
    x = 3,482,770,225/26,936
  6. Step 6: Final answer
    x = 129,297.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.