Finding the Third Proportional to 1,045 and 1,582
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Solution
The third proportional to 1,045 and 1,582 is: 2,394.95
Step by Step Solution
- Step 1: Write the proportion equation
1,045 : 1,582 = 1,582 : x - Step 2: Convert to fraction form
1,045/1,582 = 1,582/x - Step 3: Cross multiply
1,045x = 1,582 × 1,582 - Step 4: Simplify right side
1,045x = 2,502,724 - Step 5: Solve for x
x = 2,502,724/1,045 - Step 6: Final answer
x = 2,394.95
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.