Finding the Third Proportional to 12,534 and 29,643
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Solution
The third proportional to 12,534 and 29,643 is: 70,105.91
Step by Step Solution
- Step 1: Write the proportion equation
12,534 : 29,643 = 29,643 : x - Step 2: Convert to fraction form
12,534/29,643 = 29,643/x - Step 3: Cross multiply
12,534x = 29,643 × 29,643 - Step 4: Simplify right side
12,534x = 878,707,449 - Step 5: Solve for x
x = 878,707,449/12,534 - Step 6: Final answer
x = 70,105.91
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Why These Related Problems?
These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.