Finding the Third Proportional to 19,524 and 31,062
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Solution
The third proportional to 19,524 and 31,062 is: 49,418.55
Step by Step Solution
- Step 1: Write the proportion equation
19,524 : 31,062 = 31,062 : x - Step 2: Convert to fraction form
19,524/31,062 = 31,062/x - Step 3: Cross multiply
19,524x = 31,062 × 31,062 - Step 4: Simplify right side
19,524x = 964,847,844 - Step 5: Solve for x
x = 964,847,844/19,524 - Step 6: Final answer
x = 49,418.55
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.