Finding the Third Proportional to 944 and 1,040
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Solution
The third proportional to 944 and 1,040 is: 1,145.76
Step by Step Solution
- Step 1: Write the proportion equation
944 : 1,040 = 1,040 : x - Step 2: Convert to fraction form
944/1,040 = 1,040/x - Step 3: Cross multiply
944x = 1,040 × 1,040 - Step 4: Simplify right side
944x = 1,081,600 - Step 5: Solve for x
x = 1,081,600/944 - Step 6: Final answer
x = 1,145.76
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Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.