Finding the Third Proportional to 1,044 and 2,272
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Solution
The third proportional to 1,044 and 2,272 is: 4,944.43
Step by Step Solution
- Step 1: Write the proportion equation
1,044 : 2,272 = 2,272 : x - Step 2: Convert to fraction form
1,044/2,272 = 2,272/x - Step 3: Cross multiply
1,044x = 2,272 × 2,272 - Step 4: Simplify right side
1,044x = 5,161,984 - Step 5: Solve for x
x = 5,161,984/1,044 - Step 6: Final answer
x = 4,944.43
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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.