Finding the Third Proportional to 41,312 and 58,404
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Solution
The third proportional to 41,312 and 58,404 is: 82,567.47
Step by Step Solution
- Step 1: Write the proportion equation
41,312 : 58,404 = 58,404 : x - Step 2: Convert to fraction form
41,312/58,404 = 58,404/x - Step 3: Cross multiply
41,312x = 58,404 × 58,404 - Step 4: Simplify right side
41,312x = 3,411,027,216 - Step 5: Solve for x
x = 3,411,027,216/41,312 - Step 6: Final answer
x = 82,567.47
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.