Finding the Third Proportional to 21,224 and 31,864
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Solution
The third proportional to 21,224 and 31,864 is: 47,838.04
Step by Step Solution
- Step 1: Write the proportion equation
21,224 : 31,864 = 31,864 : x - Step 2: Convert to fraction form
21,224/31,864 = 31,864/x - Step 3: Cross multiply
21,224x = 31,864 × 31,864 - Step 4: Simplify right side
21,224x = 1,015,314,496 - Step 5: Solve for x
x = 1,015,314,496/21,224 - Step 6: Final answer
x = 47,838.04
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.