Finding the Third Proportional to 8,132 and 17,848
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Solution
The third proportional to 8,132 and 17,848 is: 39,172.54
Step by Step Solution
- Step 1: Write the proportion equation
8,132 : 17,848 = 17,848 : x - Step 2: Convert to fraction form
8,132/17,848 = 17,848/x - Step 3: Cross multiply
8,132x = 17,848 × 17,848 - Step 4: Simplify right side
8,132x = 318,551,104 - Step 5: Solve for x
x = 318,551,104/8,132 - Step 6: Final answer
x = 39,172.54
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.