Finding the Third Proportional to 24,097 and 37,085
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Solution
The third proportional to 24,097 and 37,085 is: 57,073.38
Step by Step Solution
- Step 1: Write the proportion equation
24,097 : 37,085 = 37,085 : x - Step 2: Convert to fraction form
24,097/37,085 = 37,085/x - Step 3: Cross multiply
24,097x = 37,085 × 37,085 - Step 4: Simplify right side
24,097x = 1,375,297,225 - Step 5: Solve for x
x = 1,375,297,225/24,097 - Step 6: Final answer
x = 57,073.38
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.