Finding the Third Proportional to 16,440 and 17,856
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Solution
The third proportional to 16,440 and 17,856 is: 19,393.96
Step by Step Solution
- Step 1: Write the proportion equation
16,440 : 17,856 = 17,856 : x - Step 2: Convert to fraction form
16,440/17,856 = 17,856/x - Step 3: Cross multiply
16,440x = 17,856 × 17,856 - Step 4: Simplify right side
16,440x = 318,836,736 - Step 5: Solve for x
x = 318,836,736/16,440 - Step 6: Final answer
x = 19,393.96
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.