Finding the Third Proportional to 2,974 and 4,654
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Solution
The third proportional to 2,974 and 4,654 is: 7,283.02
Step by Step Solution
- Step 1: Write the proportion equation
2,974 : 4,654 = 4,654 : x - Step 2: Convert to fraction form
2,974/4,654 = 4,654/x - Step 3: Cross multiply
2,974x = 4,654 × 4,654 - Step 4: Simplify right side
2,974x = 21,659,716 - Step 5: Solve for x
x = 21,659,716/2,974 - Step 6: Final answer
x = 7,283.02
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.