Finding the Third Proportional to 9,774 and 13,926
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Solution
The third proportional to 9,774 and 13,926 is: 19,841.77
Step by Step Solution
- Step 1: Write the proportion equation
9,774 : 13,926 = 13,926 : x - Step 2: Convert to fraction form
9,774/13,926 = 13,926/x - Step 3: Cross multiply
9,774x = 13,926 × 13,926 - Step 4: Simplify right side
9,774x = 193,933,476 - Step 5: Solve for x
x = 193,933,476/9,774 - Step 6: Final answer
x = 19,841.77
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.