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Finding the Third Proportional to 34,794 and 50,735

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Solution

The third proportional to 34,794 and 50,735 is: 73,979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,794 : 50,735 = 50,735 : x
  2. Step 2: Convert to fraction form
    34,794/50,735 = 50,735/x
  3. Step 3: Cross multiply
    34,794x = 50,735 × 50,735
  4. Step 4: Simplify right side
    34,794x = 2,574,040,225
  5. Step 5: Solve for x
    x = 2,574,040,225/34,794
  6. Step 6: Final answer
    x = 73,979.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.