Finding the Third Proportional to 21,542 and 31,604
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Solution
The third proportional to 21,542 and 31,604 is: 46,365.83
Step by Step Solution
- Step 1: Write the proportion equation
21,542 : 31,604 = 31,604 : x - Step 2: Convert to fraction form
21,542/31,604 = 31,604/x - Step 3: Cross multiply
21,542x = 31,604 × 31,604 - Step 4: Simplify right side
21,542x = 998,812,816 - Step 5: Solve for x
x = 998,812,816/21,542 - Step 6: Final answer
x = 46,365.83
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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.