Finding the Third Proportional to 9,906 and 23,378
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Solution
The third proportional to 9,906 and 23,378 is: 55,171.70
Step by Step Solution
- Step 1: Write the proportion equation
9,906 : 23,378 = 23,378 : x - Step 2: Convert to fraction form
9,906/23,378 = 23,378/x - Step 3: Cross multiply
9,906x = 23,378 × 23,378 - Step 4: Simplify right side
9,906x = 546,530,884 - Step 5: Solve for x
x = 546,530,884/9,906 - Step 6: Final answer
x = 55,171.70
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.