Finding the Third Proportional to 47,616.50 and 101,792
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Solution
The third proportional to 47,616.50 and 101,792 is: 217,605.48
Step by Step Solution
- Step 1: Write the proportion equation
47,616.50 : 101,792 = 101,792 : x - Step 2: Convert to fraction form
47,616.50/101,792 = 101,792/x - Step 3: Cross multiply
47,616.50x = 101,792 × 101,792 - Step 4: Simplify right side
47,616.50x = 10,361,611,264 - Step 5: Solve for x
x = 10,361,611,264/47,616.50 - Step 6: Final answer
x = 217,605.48
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.