Finding the Third Proportional to 1,071 and 2,323
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Solution
The third proportional to 1,071 and 2,323 is: 5,038.59
Step by Step Solution
- Step 1: Write the proportion equation
1,071 : 2,323 = 2,323 : x - Step 2: Convert to fraction form
1,071/2,323 = 2,323/x - Step 3: Cross multiply
1,071x = 2,323 × 2,323 - Step 4: Simplify right side
1,071x = 5,396,329 - Step 5: Solve for x
x = 5,396,329/1,071 - Step 6: Final answer
x = 5,038.59
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.