Finding the Third Proportional to 23,282 and 48,845
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Solution
The third proportional to 23,282 and 48,845 is: 102,475.48
Step by Step Solution
- Step 1: Write the proportion equation
23,282 : 48,845 = 48,845 : x - Step 2: Convert to fraction form
23,282/48,845 = 48,845/x - Step 3: Cross multiply
23,282x = 48,845 × 48,845 - Step 4: Simplify right side
23,282x = 2,385,834,025 - Step 5: Solve for x
x = 2,385,834,025/23,282 - Step 6: Final answer
x = 102,475.48
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.