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Finding the Third Proportional to 26,785 and 58,825

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Solution

The third proportional to 26,785 and 58,825 is: 129,190.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,785 : 58,825 = 58,825 : x
  2. Step 2: Convert to fraction form
    26,785/58,825 = 58,825/x
  3. Step 3: Cross multiply
    26,785x = 58,825 × 58,825
  4. Step 4: Simplify right side
    26,785x = 3,460,380,625
  5. Step 5: Solve for x
    x = 3,460,380,625/26,785
  6. Step 6: Final answer
    x = 129,190.99

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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.