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Finding the Third Proportional to 34,809 and 75,891

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Solution

The third proportional to 34,809 and 75,891 is: 165,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,809 : 75,891 = 75,891 : x
  2. Step 2: Convert to fraction form
    34,809/75,891 = 75,891/x
  3. Step 3: Cross multiply
    34,809x = 75,891 × 75,891
  4. Step 4: Simplify right side
    34,809x = 5,759,443,881
  5. Step 5: Solve for x
    x = 5,759,443,881/34,809
  6. Step 6: Final answer
    x = 165,458.47

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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.