Finding the Third Proportional to 42,804 and 56,796
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Solution
The third proportional to 42,804 and 56,796 is: 75,361.78
Step by Step Solution
- Step 1: Write the proportion equation
42,804 : 56,796 = 56,796 : x - Step 2: Convert to fraction form
42,804/56,796 = 56,796/x - Step 3: Cross multiply
42,804x = 56,796 × 56,796 - Step 4: Simplify right side
42,804x = 3,225,785,616 - Step 5: Solve for x
x = 3,225,785,616/42,804 - Step 6: Final answer
x = 75,361.78
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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.