Finding the Third Proportional to 5,342.25 and 8,292.75
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Solution
The third proportional to 5,342.25 and 8,292.75 is: 12,872.80
Step by Step Solution
- Step 1: Write the proportion equation
5,342.25 : 8,292.75 = 8,292.75 : x - Step 2: Convert to fraction form
5,342.25/8,292.75 = 8,292.75/x - Step 3: Cross multiply
5,342.25x = 8,292.75 × 8,292.75 - Step 4: Simplify right side
5,342.25x = 68,769,702.56 - Step 5: Solve for x
x = 68,769,702.56/5,342.25 - Step 6: Final answer
x = 12,872.80
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.