Finding the Third Proportional to 17,676 and 24,978
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Solution
The third proportional to 17,676 and 24,978 is: 35,296.47
Step by Step Solution
- Step 1: Write the proportion equation
17,676 : 24,978 = 24,978 : x - Step 2: Convert to fraction form
17,676/24,978 = 24,978/x - Step 3: Cross multiply
17,676x = 24,978 × 24,978 - Step 4: Simplify right side
17,676x = 623,900,484 - Step 5: Solve for x
x = 623,900,484/17,676 - Step 6: Final answer
x = 35,296.47
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.