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Finding the Third Proportional to 16,954 and 25,778

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Solution

The third proportional to 16,954 and 25,778 is: 39,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,954 : 25,778 = 25,778 : x
  2. Step 2: Convert to fraction form
    16,954/25,778 = 25,778/x
  3. Step 3: Cross multiply
    16,954x = 25,778 × 25,778
  4. Step 4: Simplify right side
    16,954x = 664,505,284
  5. Step 5: Solve for x
    x = 664,505,284/16,954
  6. Step 6: Final answer
    x = 39,194.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.