Finding the Third Proportional to 9,942 and 11,940
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Solution
The third proportional to 9,942 and 11,940 is: 14,339.53
Step by Step Solution
- Step 1: Write the proportion equation
9,942 : 11,940 = 11,940 : x - Step 2: Convert to fraction form
9,942/11,940 = 11,940/x - Step 3: Cross multiply
9,942x = 11,940 × 11,940 - Step 4: Simplify right side
9,942x = 142,563,600 - Step 5: Solve for x
x = 142,563,600/9,942 - Step 6: Final answer
x = 14,339.53
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Why These Related Problems?
These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.