Finding the Third Proportional to 42,361 and 56,473
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Solution
The third proportional to 42,361 and 56,473 is: 75,286.22
Step by Step Solution
- Step 1: Write the proportion equation
42,361 : 56,473 = 56,473 : x - Step 2: Convert to fraction form
42,361/56,473 = 56,473/x - Step 3: Cross multiply
42,361x = 56,473 × 56,473 - Step 4: Simplify right side
42,361x = 3,189,199,729 - Step 5: Solve for x
x = 3,189,199,729/42,361 - Step 6: Final answer
x = 75,286.22
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.