Finding the Third Proportional to 5,246.25 and 8,211.75
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Solution
The third proportional to 5,246.25 and 8,211.75 is: 12,853.53
Step by Step Solution
- Step 1: Write the proportion equation
5,246.25 : 8,211.75 = 8,211.75 : x - Step 2: Convert to fraction form
5,246.25/8,211.75 = 8,211.75/x - Step 3: Cross multiply
5,246.25x = 8,211.75 × 8,211.75 - Step 4: Simplify right side
5,246.25x = 67,432,838.06 - Step 5: Solve for x
x = 67,432,838.06/5,246.25 - Step 6: Final answer
x = 12,853.53
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.