Finding the Third Proportional to 5,978 and 13,048
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Solution
The third proportional to 5,978 and 13,048 is: 28,479.48
Step by Step Solution
- Step 1: Write the proportion equation
5,978 : 13,048 = 13,048 : x - Step 2: Convert to fraction form
5,978/13,048 = 13,048/x - Step 3: Cross multiply
5,978x = 13,048 × 13,048 - Step 4: Simplify right side
5,978x = 170,250,304 - Step 5: Solve for x
x = 170,250,304/5,978 - Step 6: Final answer
x = 28,479.48
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.