Finding the Third Proportional to 37,986 and 58,970
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Solution
The third proportional to 37,986 and 58,970 is: 91,545.86
Step by Step Solution
- Step 1: Write the proportion equation
37,986 : 58,970 = 58,970 : x - Step 2: Convert to fraction form
37,986/58,970 = 58,970/x - Step 3: Cross multiply
37,986x = 58,970 × 58,970 - Step 4: Simplify right side
37,986x = 3,477,460,900 - Step 5: Solve for x
x = 3,477,460,900/37,986 - Step 6: Final answer
x = 91,545.86
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.