Finding the Third Proportional to 49,201 and 74,384
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Solution
The third proportional to 49,201 and 74,384 is: 112,456.65
Step by Step Solution
- Step 1: Write the proportion equation
49,201 : 74,384 = 74,384 : x - Step 2: Convert to fraction form
49,201/74,384 = 74,384/x - Step 3: Cross multiply
49,201x = 74,384 × 74,384 - Step 4: Simplify right side
49,201x = 5,532,979,456 - Step 5: Solve for x
x = 5,532,979,456/49,201 - Step 6: Final answer
x = 112,456.65
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.