Finding the Third Proportional to 5,862 and 13,443
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Solution
The third proportional to 5,862 and 13,443 is: 30,828.09
Step by Step Solution
- Step 1: Write the proportion equation
5,862 : 13,443 = 13,443 : x - Step 2: Convert to fraction form
5,862/13,443 = 13,443/x - Step 3: Cross multiply
5,862x = 13,443 × 13,443 - Step 4: Simplify right side
5,862x = 180,714,249 - Step 5: Solve for x
x = 180,714,249/5,862 - Step 6: Final answer
x = 30,828.09
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Why These Related Problems?
These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.