Finding the Third Proportional to 17,676 and 24,778
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Solution
The third proportional to 17,676 and 24,778 is: 34,733.50
Step by Step Solution
- Step 1: Write the proportion equation
17,676 : 24,778 = 24,778 : x - Step 2: Convert to fraction form
17,676/24,778 = 24,778/x - Step 3: Cross multiply
17,676x = 24,778 × 24,778 - Step 4: Simplify right side
17,676x = 613,949,284 - Step 5: Solve for x
x = 613,949,284/17,676 - Step 6: Final answer
x = 34,733.50
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.