Finding the Third Proportional to 2,080 and 4,532
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Solution
The third proportional to 2,080 and 4,532 is: 9,874.53
Step by Step Solution
- Step 1: Write the proportion equation
2,080 : 4,532 = 4,532 : x - Step 2: Convert to fraction form
2,080/4,532 = 4,532/x - Step 3: Cross multiply
2,080x = 4,532 × 4,532 - Step 4: Simplify right side
2,080x = 20,539,024 - Step 5: Solve for x
x = 20,539,024/2,080 - Step 6: Final answer
x = 9,874.53
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.