Finding the Third Proportional to 7,466 and 8,114
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Solution
The third proportional to 7,466 and 8,114 is: 8,818.24
Step by Step Solution
- Step 1: Write the proportion equation
7,466 : 8,114 = 8,114 : x - Step 2: Convert to fraction form
7,466/8,114 = 8,114/x - Step 3: Cross multiply
7,466x = 8,114 × 8,114 - Step 4: Simplify right side
7,466x = 65,836,996 - Step 5: Solve for x
x = 65,836,996/7,466 - Step 6: Final answer
x = 8,818.24
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.