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Finding the Third Proportional to 26,183 and 55,647

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Solution

The third proportional to 26,183 and 55,647 is: 118,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,183 : 55,647 = 55,647 : x
  2. Step 2: Convert to fraction form
    26,183/55,647 = 55,647/x
  3. Step 3: Cross multiply
    26,183x = 55,647 × 55,647
  4. Step 4: Simplify right side
    26,183x = 3,096,588,609
  5. Step 5: Solve for x
    x = 3,096,588,609/26,183
  6. Step 6: Final answer
    x = 118,267.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.