Finding the Third Proportional to 37,327.50 and 56,583
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Solution
The third proportional to 37,327.50 and 56,583 is: 85,771.51
Step by Step Solution
- Step 1: Write the proportion equation
37,327.50 : 56,583 = 56,583 : x - Step 2: Convert to fraction form
37,327.50/56,583 = 56,583/x - Step 3: Cross multiply
37,327.50x = 56,583 × 56,583 - Step 4: Simplify right side
37,327.50x = 3,201,635,889 - Step 5: Solve for x
x = 3,201,635,889/37,327.50 - Step 6: Final answer
x = 85,771.51
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.