Finding the Third Proportional to 41,017.50 and 53,856
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Solution
The third proportional to 41,017.50 and 53,856 is: 70,712.96
Step by Step Solution
- Step 1: Write the proportion equation
41,017.50 : 53,856 = 53,856 : x - Step 2: Convert to fraction form
41,017.50/53,856 = 53,856/x - Step 3: Cross multiply
41,017.50x = 53,856 × 53,856 - Step 4: Simplify right side
41,017.50x = 2,900,468,736 - Step 5: Solve for x
x = 2,900,468,736/41,017.50 - Step 6: Final answer
x = 70,712.96
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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.