Finding the Third Proportional to 21,288 and 31,314
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Solution
The third proportional to 21,288 and 31,314 is: 46,061.94
Step by Step Solution
- Step 1: Write the proportion equation
21,288 : 31,314 = 31,314 : x - Step 2: Convert to fraction form
21,288/31,314 = 31,314/x - Step 3: Cross multiply
21,288x = 31,314 × 31,314 - Step 4: Simplify right side
21,288x = 980,566,596 - Step 5: Solve for x
x = 980,566,596/21,288 - Step 6: Final answer
x = 46,061.94
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.