Finding the Third Proportional to 32,286 and 48,462
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Solution
The third proportional to 32,286 and 48,462 is: 72,742.53
Step by Step Solution
- Step 1: Write the proportion equation
32,286 : 48,462 = 48,462 : x - Step 2: Convert to fraction form
32,286/48,462 = 48,462/x - Step 3: Cross multiply
32,286x = 48,462 × 48,462 - Step 4: Simplify right side
32,286x = 2,348,565,444 - Step 5: Solve for x
x = 2,348,565,444/32,286 - Step 6: Final answer
x = 72,742.53
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.