Finding the Third Proportional to 8,782 and 18,770
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Solution
The third proportional to 8,782 and 18,770 is: 40,117.62
Step by Step Solution
- Step 1: Write the proportion equation
8,782 : 18,770 = 18,770 : x - Step 2: Convert to fraction form
8,782/18,770 = 18,770/x - Step 3: Cross multiply
8,782x = 18,770 × 18,770 - Step 4: Simplify right side
8,782x = 352,312,900 - Step 5: Solve for x
x = 352,312,900/8,782 - Step 6: Final answer
x = 40,117.62
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.