Finding the Third Proportional to 26,582 and 41,704
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Solution
The third proportional to 26,582 and 41,704 is: 65,428.62
Step by Step Solution
- Step 1: Write the proportion equation
26,582 : 41,704 = 41,704 : x - Step 2: Convert to fraction form
26,582/41,704 = 41,704/x - Step 3: Cross multiply
26,582x = 41,704 × 41,704 - Step 4: Simplify right side
26,582x = 1,739,223,616 - Step 5: Solve for x
x = 1,739,223,616/26,582 - Step 6: Final answer
x = 65,428.62
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.