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Finding the Third Proportional to 17,269 and 35,766

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Solution

The third proportional to 17,269 and 35,766 is: 74,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,269 : 35,766 = 35,766 : x
  2. Step 2: Convert to fraction form
    17,269/35,766 = 35,766/x
  3. Step 3: Cross multiply
    17,269x = 35,766 × 35,766
  4. Step 4: Simplify right side
    17,269x = 1,279,206,756
  5. Step 5: Solve for x
    x = 1,279,206,756/17,269
  6. Step 6: Final answer
    x = 74,075.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.