Finding the Third Proportional to 9,739 and 15,824
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Solution
The third proportional to 9,739 and 15,824 is: 25,710.95
Step by Step Solution
- Step 1: Write the proportion equation
9,739 : 15,824 = 15,824 : x - Step 2: Convert to fraction form
9,739/15,824 = 15,824/x - Step 3: Cross multiply
9,739x = 15,824 × 15,824 - Step 4: Simplify right side
9,739x = 250,398,976 - Step 5: Solve for x
x = 250,398,976/9,739 - Step 6: Final answer
x = 25,710.95
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Why These Related Problems?
These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.