Finding the Third Proportional to 895 and 1,003
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Solution
The third proportional to 895 and 1,003 is: 1,124.03
Step by Step Solution
- Step 1: Write the proportion equation
895 : 1,003 = 1,003 : x - Step 2: Convert to fraction form
895/1,003 = 1,003/x - Step 3: Cross multiply
895x = 1,003 × 1,003 - Step 4: Simplify right side
895x = 1,006,009 - Step 5: Solve for x
x = 1,006,009/895 - Step 6: Final answer
x = 1,124.03
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.