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Finding the Third Proportional to 34,760 and 75,794

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Solution

The third proportional to 34,760 and 75,794 is: 165,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,760 : 75,794 = 75,794 : x
  2. Step 2: Convert to fraction form
    34,760/75,794 = 75,794/x
  3. Step 3: Cross multiply
    34,760x = 75,794 × 75,794
  4. Step 4: Simplify right side
    34,760x = 5,744,730,436
  5. Step 5: Solve for x
    x = 5,744,730,436/34,760
  6. Step 6: Final answer
    x = 165,268.42

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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.