Finding the Third Proportional to 21,534 and 31,592
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Solution
The third proportional to 21,534 and 31,592 is: 46,347.84
Step by Step Solution
- Step 1: Write the proportion equation
21,534 : 31,592 = 31,592 : x - Step 2: Convert to fraction form
21,534/31,592 = 31,592/x - Step 3: Cross multiply
21,534x = 31,592 × 31,592 - Step 4: Simplify right side
21,534x = 998,054,464 - Step 5: Solve for x
x = 998,054,464/21,534 - Step 6: Final answer
x = 46,347.84
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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.