Finding the Third Proportional to 9,774 and 14,934
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Solution
The third proportional to 9,774 and 14,934 is: 22,818.13
Step by Step Solution
- Step 1: Write the proportion equation
9,774 : 14,934 = 14,934 : x - Step 2: Convert to fraction form
9,774/14,934 = 14,934/x - Step 3: Cross multiply
9,774x = 14,934 × 14,934 - Step 4: Simplify right side
9,774x = 223,024,356 - Step 5: Solve for x
x = 223,024,356/9,774 - Step 6: Final answer
x = 22,818.13
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.