Finding the Third Proportional to 14,510 and 31,660
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Solution
The third proportional to 14,510 and 31,660 is: 69,080.33
Step by Step Solution
- Step 1: Write the proportion equation
14,510 : 31,660 = 31,660 : x - Step 2: Convert to fraction form
14,510/31,660 = 31,660/x - Step 3: Cross multiply
14,510x = 31,660 × 31,660 - Step 4: Simplify right side
14,510x = 1,002,355,600 - Step 5: Solve for x
x = 1,002,355,600/14,510 - Step 6: Final answer
x = 69,080.33
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.