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Finding the Third Proportional to 17,954 and 36,778

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Solution

The third proportional to 17,954 and 36,778 is: 75,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,954 : 36,778 = 36,778 : x
  2. Step 2: Convert to fraction form
    17,954/36,778 = 36,778/x
  3. Step 3: Cross multiply
    17,954x = 36,778 × 36,778
  4. Step 4: Simplify right side
    17,954x = 1,352,621,284
  5. Step 5: Solve for x
    x = 1,352,621,284/17,954
  6. Step 6: Final answer
    x = 75,338.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.