Finding the Third Proportional to 6,278 and 13,636
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Solution
The third proportional to 6,278 and 13,636 is: 29,617.79
Step by Step Solution
- Step 1: Write the proportion equation
6,278 : 13,636 = 13,636 : x - Step 2: Convert to fraction form
6,278/13,636 = 13,636/x - Step 3: Cross multiply
6,278x = 13,636 × 13,636 - Step 4: Simplify right side
6,278x = 185,940,496 - Step 5: Solve for x
x = 185,940,496/6,278 - Step 6: Final answer
x = 29,617.79
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.