Finding the Third Proportional to 5,913 and 6,822
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Solution
The third proportional to 5,913 and 6,822 is: 7,870.74
Step by Step Solution
- Step 1: Write the proportion equation
5,913 : 6,822 = 6,822 : x - Step 2: Convert to fraction form
5,913/6,822 = 6,822/x - Step 3: Cross multiply
5,913x = 6,822 × 6,822 - Step 4: Simplify right side
5,913x = 46,539,684 - Step 5: Solve for x
x = 46,539,684/5,913 - Step 6: Final answer
x = 7,870.74
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Why These Related Problems?
These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.