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Finding the Third Proportional to 17,268 and 26,406

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Solution

The third proportional to 17,268 and 26,406 is: 40,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,268 : 26,406 = 26,406 : x
  2. Step 2: Convert to fraction form
    17,268/26,406 = 26,406/x
  3. Step 3: Cross multiply
    17,268x = 26,406 × 26,406
  4. Step 4: Simplify right side
    17,268x = 697,276,836
  5. Step 5: Solve for x
    x = 697,276,836/17,268
  6. Step 6: Final answer
    x = 40,379.71

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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.