Finding the Third Proportional to 6,257 and 13,756
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Solution
The third proportional to 6,257 and 13,756 is: 30,242.53
Step by Step Solution
- Step 1: Write the proportion equation
6,257 : 13,756 = 13,756 : x - Step 2: Convert to fraction form
6,257/13,756 = 13,756/x - Step 3: Cross multiply
6,257x = 13,756 × 13,756 - Step 4: Simplify right side
6,257x = 189,227,536 - Step 5: Solve for x
x = 189,227,536/6,257 - Step 6: Final answer
x = 30,242.53
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.