Finding the Third Proportional to 6,414 and 13,026
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Solution
The third proportional to 6,414 and 13,026 is: 26,454.11
Step by Step Solution
- Step 1: Write the proportion equation
6,414 : 13,026 = 13,026 : x - Step 2: Convert to fraction form
6,414/13,026 = 13,026/x - Step 3: Cross multiply
6,414x = 13,026 × 13,026 - Step 4: Simplify right side
6,414x = 169,676,676 - Step 5: Solve for x
x = 169,676,676/6,414 - Step 6: Final answer
x = 26,454.11
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.