Finding the Third Proportional to 17,022 and 23,833
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Solution
The third proportional to 17,022 and 23,833 is: 33,369.28
Step by Step Solution
- Step 1: Write the proportion equation
17,022 : 23,833 = 23,833 : x - Step 2: Convert to fraction form
17,022/23,833 = 23,833/x - Step 3: Cross multiply
17,022x = 23,833 × 23,833 - Step 4: Simplify right side
17,022x = 568,011,889 - Step 5: Solve for x
x = 568,011,889/17,022 - Step 6: Final answer
x = 33,369.28
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.