Finding the Third Proportional to 13,370 and 20,770
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Solution
The third proportional to 13,370 and 20,770 is: 32,265.74
Step by Step Solution
- Step 1: Write the proportion equation
13,370 : 20,770 = 20,770 : x - Step 2: Convert to fraction form
13,370/20,770 = 20,770/x - Step 3: Cross multiply
13,370x = 20,770 × 20,770 - Step 4: Simplify right side
13,370x = 431,392,900 - Step 5: Solve for x
x = 431,392,900/13,370 - Step 6: Final answer
x = 32,265.74
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.