Finding the Third Proportional to 13,822 and 29,852
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Solution
The third proportional to 13,822 and 29,852 is: 64,472.72
Step by Step Solution
- Step 1: Write the proportion equation
13,822 : 29,852 = 29,852 : x - Step 2: Convert to fraction form
13,822/29,852 = 29,852/x - Step 3: Cross multiply
13,822x = 29,852 × 29,852 - Step 4: Simplify right side
13,822x = 891,141,904 - Step 5: Solve for x
x = 891,141,904/13,822 - Step 6: Final answer
x = 64,472.72
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.