Finding the Third Proportional to 30,876 and 46,462
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Solution
The third proportional to 30,876 and 46,462 is: 69,915.71
Step by Step Solution
- Step 1: Write the proportion equation
30,876 : 46,462 = 46,462 : x - Step 2: Convert to fraction form
30,876/46,462 = 46,462/x - Step 3: Cross multiply
30,876x = 46,462 × 46,462 - Step 4: Simplify right side
30,876x = 2,158,717,444 - Step 5: Solve for x
x = 2,158,717,444/30,876 - Step 6: Final answer
x = 69,915.71
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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.