Finding the Third Proportional to 42,538.50 and 91,575
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Solution
The third proportional to 42,538.50 and 91,575 is: 197,138.61
Step by Step Solution
- Step 1: Write the proportion equation
42,538.50 : 91,575 = 91,575 : x - Step 2: Convert to fraction form
42,538.50/91,575 = 91,575/x - Step 3: Cross multiply
42,538.50x = 91,575 × 91,575 - Step 4: Simplify right side
42,538.50x = 8,385,980,625 - Step 5: Solve for x
x = 8,385,980,625/42,538.50 - Step 6: Final answer
x = 197,138.61
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.