Finding the Third Proportional to 21,766 and 32,894
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Solution
The third proportional to 21,766 and 32,894 is: 49,711.26
Step by Step Solution
- Step 1: Write the proportion equation
21,766 : 32,894 = 32,894 : x - Step 2: Convert to fraction form
21,766/32,894 = 32,894/x - Step 3: Cross multiply
21,766x = 32,894 × 32,894 - Step 4: Simplify right side
21,766x = 1,082,015,236 - Step 5: Solve for x
x = 1,082,015,236/21,766 - Step 6: Final answer
x = 49,711.26
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.