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Finding the Third Proportional to 16,994 and 25,844

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Solution

The third proportional to 16,994 and 25,844 is: 39,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,994 : 25,844 = 25,844 : x
  2. Step 2: Convert to fraction form
    16,994/25,844 = 25,844/x
  3. Step 3: Cross multiply
    16,994x = 25,844 × 25,844
  4. Step 4: Simplify right side
    16,994x = 667,912,336
  5. Step 5: Solve for x
    x = 667,912,336/16,994
  6. Step 6: Final answer
    x = 39,302.83

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