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Finding the Third Proportional to 26,783 and 58,821

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Solution

The third proportional to 26,783 and 58,821 is: 129,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,783 : 58,821 = 58,821 : x
  2. Step 2: Convert to fraction form
    26,783/58,821 = 58,821/x
  3. Step 3: Cross multiply
    26,783x = 58,821 × 58,821
  4. Step 4: Simplify right side
    26,783x = 3,459,910,041
  5. Step 5: Solve for x
    x = 3,459,910,041/26,783
  6. Step 6: Final answer
    x = 129,183.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.