Finding the Third Proportional to 53,014.50 and 81,982
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Solution
The third proportional to 53,014.50 and 81,982 is: 126,777.55
Step by Step Solution
- Step 1: Write the proportion equation
53,014.50 : 81,982 = 81,982 : x - Step 2: Convert to fraction form
53,014.50/81,982 = 81,982/x - Step 3: Cross multiply
53,014.50x = 81,982 × 81,982 - Step 4: Simplify right side
53,014.50x = 6,721,048,324 - Step 5: Solve for x
x = 6,721,048,324/53,014.50 - Step 6: Final answer
x = 126,777.55
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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.