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Finding the Third Proportional to 26,930 and 55,201

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Solution

The third proportional to 26,930 and 55,201 is: 113,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,930 : 55,201 = 55,201 : x
  2. Step 2: Convert to fraction form
    26,930/55,201 = 55,201/x
  3. Step 3: Cross multiply
    26,930x = 55,201 × 55,201
  4. Step 4: Simplify right side
    26,930x = 3,047,150,401
  5. Step 5: Solve for x
    x = 3,047,150,401/26,930
  6. Step 6: Final answer
    x = 113,150.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.