Finding the Third Proportional to 2,787 and 6,014
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Solution
The third proportional to 2,787 and 6,014 is: 12,977.47
Step by Step Solution
- Step 1: Write the proportion equation
2,787 : 6,014 = 6,014 : x - Step 2: Convert to fraction form
2,787/6,014 = 6,014/x - Step 3: Cross multiply
2,787x = 6,014 × 6,014 - Step 4: Simplify right side
2,787x = 36,168,196 - Step 5: Solve for x
x = 36,168,196/2,787 - Step 6: Final answer
x = 12,977.47
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.