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Finding the Third Proportional to 34,809 and 75,828

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Solution

The third proportional to 34,809 and 75,828 is: 165,183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,809 : 75,828 = 75,828 : x
  2. Step 2: Convert to fraction form
    34,809/75,828 = 75,828/x
  3. Step 3: Cross multiply
    34,809x = 75,828 × 75,828
  4. Step 4: Simplify right side
    34,809x = 5,749,885,584
  5. Step 5: Solve for x
    x = 5,749,885,584/34,809
  6. Step 6: Final answer
    x = 165,183.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.