Finding the Third Proportional to 856 and 1,048
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Solution
The third proportional to 856 and 1,048 is: 1,283.07
Step by Step Solution
- Step 1: Write the proportion equation
856 : 1,048 = 1,048 : x - Step 2: Convert to fraction form
856/1,048 = 1,048/x - Step 3: Cross multiply
856x = 1,048 × 1,048 - Step 4: Simplify right side
856x = 1,098,304 - Step 5: Solve for x
x = 1,098,304/856 - Step 6: Final answer
x = 1,283.07
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Why These Related Problems?
These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.