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Finding the Third Proportional to 16,990 and 25,990

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Solution

The third proportional to 16,990 and 25,990 is: 39,757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,990 : 25,990 = 25,990 : x
  2. Step 2: Convert to fraction form
    16,990/25,990 = 25,990/x
  3. Step 3: Cross multiply
    16,990x = 25,990 × 25,990
  4. Step 4: Simplify right side
    16,990x = 675,480,100
  5. Step 5: Solve for x
    x = 675,480,100/16,990
  6. Step 6: Final answer
    x = 39,757.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.