Finding the Third Proportional to 30,830 and 48,294
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Solution
The third proportional to 30,830 and 48,294 is: 75,650.68
Step by Step Solution
- Step 1: Write the proportion equation
30,830 : 48,294 = 48,294 : x - Step 2: Convert to fraction form
30,830/48,294 = 48,294/x - Step 3: Cross multiply
30,830x = 48,294 × 48,294 - Step 4: Simplify right side
30,830x = 2,332,310,436 - Step 5: Solve for x
x = 2,332,310,436/30,830 - Step 6: Final answer
x = 75,650.68
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.