Finding the Third Proportional to 17,469 and 35,747
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Solution
The third proportional to 17,469 and 35,747 is: 73,149.47
Step by Step Solution
- Step 1: Write the proportion equation
17,469 : 35,747 = 35,747 : x - Step 2: Convert to fraction form
17,469/35,747 = 35,747/x - Step 3: Cross multiply
17,469x = 35,747 × 35,747 - Step 4: Simplify right side
17,469x = 1,277,848,009 - Step 5: Solve for x
x = 1,277,848,009/17,469 - Step 6: Final answer
x = 73,149.47
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.