Finding the Third Proportional to 45,732 and 64,062
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Solution
The third proportional to 45,732 and 64,062 is: 89,738.91
Step by Step Solution
- Step 1: Write the proportion equation
45,732 : 64,062 = 64,062 : x - Step 2: Convert to fraction form
45,732/64,062 = 64,062/x - Step 3: Cross multiply
45,732x = 64,062 × 64,062 - Step 4: Simplify right side
45,732x = 4,103,939,844 - Step 5: Solve for x
x = 4,103,939,844/45,732 - Step 6: Final answer
x = 89,738.91
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.