Finding the Third Proportional to 6,474.94 and 8,312.63
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Solution
The third proportional to 6,474.94 and 8,312.63 is: 10,671.88
Step by Step Solution
- Step 1: Write the proportion equation
6,474.94 : 8,312.63 = 8,312.63 : x - Step 2: Convert to fraction form
6,474.94/8,312.63 = 8,312.63/x - Step 3: Cross multiply
6,474.94x = 8,312.63 × 8,312.63 - Step 4: Simplify right side
6,474.94x = 69,099,734.39 - Step 5: Solve for x
x = 69,099,734.39/6,474.94 - Step 6: Final answer
x = 10,671.88
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Why These Related Problems?
These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.