Finding the Third Proportional to 12,073 and 17,677
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Solution
The third proportional to 12,073 and 17,677 is: 25,882.24
Step by Step Solution
- Step 1: Write the proportion equation
12,073 : 17,677 = 17,677 : x - Step 2: Convert to fraction form
12,073/17,677 = 17,677/x - Step 3: Cross multiply
12,073x = 17,677 × 17,677 - Step 4: Simplify right side
12,073x = 312,476,329 - Step 5: Solve for x
x = 312,476,329/12,073 - Step 6: Final answer
x = 25,882.24
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.