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Finding the Third Proportional to 34,792 and 38,104

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Solution

The third proportional to 34,792 and 38,104 is: 41,731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,792 : 38,104 = 38,104 : x
  2. Step 2: Convert to fraction form
    34,792/38,104 = 38,104/x
  3. Step 3: Cross multiply
    34,792x = 38,104 × 38,104
  4. Step 4: Simplify right side
    34,792x = 1,451,914,816
  5. Step 5: Solve for x
    x = 1,451,914,816/34,792
  6. Step 6: Final answer
    x = 41,731.28

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.