Finding the Third Proportional to 23,654 and 51,916
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Solution
The third proportional to 23,654 and 51,916 is: 113,945.68
Step by Step Solution
- Step 1: Write the proportion equation
23,654 : 51,916 = 51,916 : x - Step 2: Convert to fraction form
23,654/51,916 = 51,916/x - Step 3: Cross multiply
23,654x = 51,916 × 51,916 - Step 4: Simplify right side
23,654x = 2,695,271,056 - Step 5: Solve for x
x = 2,695,271,056/23,654 - Step 6: Final answer
x = 113,945.68
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.