Finding the Third Proportional to 42,348 and 55,686
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Solution
The third proportional to 42,348 and 55,686 is: 73,224.96
Step by Step Solution
- Step 1: Write the proportion equation
42,348 : 55,686 = 55,686 : x - Step 2: Convert to fraction form
42,348/55,686 = 55,686/x - Step 3: Cross multiply
42,348x = 55,686 × 55,686 - Step 4: Simplify right side
42,348x = 3,100,930,596 - Step 5: Solve for x
x = 3,100,930,596/42,348 - Step 6: Final answer
x = 73,224.96
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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.