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Finding the Third Proportional to 16,826 and 26,399

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Solution

The third proportional to 16,826 and 26,399 is: 41,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,826 : 26,399 = 26,399 : x
  2. Step 2: Convert to fraction form
    16,826/26,399 = 26,399/x
  3. Step 3: Cross multiply
    16,826x = 26,399 × 26,399
  4. Step 4: Simplify right side
    16,826x = 696,907,201
  5. Step 5: Solve for x
    x = 696,907,201/16,826
  6. Step 6: Final answer
    x = 41,418.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.