Finding the Third Proportional to 10,583 and 22,622
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Solution
The third proportional to 10,583 and 22,622 is: 48,356.32
Step by Step Solution
- Step 1: Write the proportion equation
10,583 : 22,622 = 22,622 : x - Step 2: Convert to fraction form
10,583/22,622 = 22,622/x - Step 3: Cross multiply
10,583x = 22,622 × 22,622 - Step 4: Simplify right side
10,583x = 511,754,884 - Step 5: Solve for x
x = 511,754,884/10,583 - Step 6: Final answer
x = 48,356.32
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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.