Finding the Third Proportional to 21,388 and 31,906
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Solution
The third proportional to 21,388 and 31,906 is: 47,596.45
Step by Step Solution
- Step 1: Write the proportion equation
21,388 : 31,906 = 31,906 : x - Step 2: Convert to fraction form
21,388/31,906 = 31,906/x - Step 3: Cross multiply
21,388x = 31,906 × 31,906 - Step 4: Simplify right side
21,388x = 1,017,992,836 - Step 5: Solve for x
x = 1,017,992,836/21,388 - Step 6: Final answer
x = 47,596.45
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.