Finding the Third Proportional to 6,893 and 9,846
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Solution
The third proportional to 6,893 and 9,846 is: 14,064.08
Step by Step Solution
- Step 1: Write the proportion equation
6,893 : 9,846 = 9,846 : x - Step 2: Convert to fraction form
6,893/9,846 = 9,846/x - Step 3: Cross multiply
6,893x = 9,846 × 9,846 - Step 4: Simplify right side
6,893x = 96,943,716 - Step 5: Solve for x
x = 96,943,716/6,893 - Step 6: Final answer
x = 14,064.08
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.