Finding the Third Proportional to 11,770 and 16,730
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Solution
The third proportional to 11,770 and 16,730 is: 23,780.20
Step by Step Solution
- Step 1: Write the proportion equation
11,770 : 16,730 = 16,730 : x - Step 2: Convert to fraction form
11,770/16,730 = 16,730/x - Step 3: Cross multiply
11,770x = 16,730 × 16,730 - Step 4: Simplify right side
11,770x = 279,892,900 - Step 5: Solve for x
x = 279,892,900/11,770 - Step 6: Final answer
x = 23,780.20
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.