Finding the Third Proportional to 21,065 and 31,731
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Solution
The third proportional to 21,065 and 31,731 is: 47,797.60
Step by Step Solution
- Step 1: Write the proportion equation
21,065 : 31,731 = 31,731 : x - Step 2: Convert to fraction form
21,065/31,731 = 31,731/x - Step 3: Cross multiply
21,065x = 31,731 × 31,731 - Step 4: Simplify right side
21,065x = 1,006,856,361 - Step 5: Solve for x
x = 1,006,856,361/21,065 - Step 6: Final answer
x = 47,797.60
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.