Finding the Third Proportional to 35,700 and 55,242
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Solution
The third proportional to 35,700 and 55,242 is: 85,481.19
Step by Step Solution
- Step 1: Write the proportion equation
35,700 : 55,242 = 55,242 : x - Step 2: Convert to fraction form
35,700/55,242 = 55,242/x - Step 3: Cross multiply
35,700x = 55,242 × 55,242 - Step 4: Simplify right side
35,700x = 3,051,678,564 - Step 5: Solve for x
x = 3,051,678,564/35,700 - Step 6: Final answer
x = 85,481.19
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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.