Finding the Third Proportional to 10,418 and 23,140
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Solution
The third proportional to 10,418 and 23,140 is: 51,397.54
Step by Step Solution
- Step 1: Write the proportion equation
10,418 : 23,140 = 23,140 : x - Step 2: Convert to fraction form
10,418/23,140 = 23,140/x - Step 3: Cross multiply
10,418x = 23,140 × 23,140 - Step 4: Simplify right side
10,418x = 535,459,600 - Step 5: Solve for x
x = 535,459,600/10,418 - Step 6: Final answer
x = 51,397.54
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.