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Finding the Third Proportional to 26,779 and 58,167

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Solution

The third proportional to 26,779 and 58,167 is: 126,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,779 : 58,167 = 58,167 : x
  2. Step 2: Convert to fraction form
    26,779/58,167 = 58,167/x
  3. Step 3: Cross multiply
    26,779x = 58,167 × 58,167
  4. Step 4: Simplify right side
    26,779x = 3,383,399,889
  5. Step 5: Solve for x
    x = 3,383,399,889/26,779
  6. Step 6: Final answer
    x = 126,345.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.