Finding the Third Proportional to 55,662.50 and 83,494
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Solution
The third proportional to 55,662.50 and 83,494 is: 125,241.38
Step by Step Solution
- Step 1: Write the proportion equation
55,662.50 : 83,494 = 83,494 : x - Step 2: Convert to fraction form
55,662.50/83,494 = 83,494/x - Step 3: Cross multiply
55,662.50x = 83,494 × 83,494 - Step 4: Simplify right side
55,662.50x = 6,971,248,036 - Step 5: Solve for x
x = 6,971,248,036/55,662.50 - Step 6: Final answer
x = 125,241.38
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.