Finding the Third Proportional to 2,787.14 and 6,285.49
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Solution
The third proportional to 2,787.14 and 6,285.49 is: 14,174.86
Step by Step Solution
- Step 1: Write the proportion equation
2,787.14 : 6,285.49 = 6,285.49 : x - Step 2: Convert to fraction form
2,787.14/6,285.49 = 6,285.49/x - Step 3: Cross multiply
2,787.14x = 6,285.49 × 6,285.49 - Step 4: Simplify right side
2,787.14x = 39,507,375.21 - Step 5: Solve for x
x = 39,507,375.21/2,787.14 - Step 6: Final answer
x = 14,174.86
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.