Finding the Third Proportional to 9,774 and 16,308
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Solution
The third proportional to 9,774 and 16,308 is: 27,210.03
Step by Step Solution
- Step 1: Write the proportion equation
9,774 : 16,308 = 16,308 : x - Step 2: Convert to fraction form
9,774/16,308 = 16,308/x - Step 3: Cross multiply
9,774x = 16,308 × 16,308 - Step 4: Simplify right side
9,774x = 265,950,864 - Step 5: Solve for x
x = 265,950,864/9,774 - Step 6: Final answer
x = 27,210.03
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Why These Related Problems?
These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.