Finding the Third Proportional to 49,404 and 72,243
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Solution
The third proportional to 49,404 and 72,243 is: 105,640.25
Step by Step Solution
- Step 1: Write the proportion equation
49,404 : 72,243 = 72,243 : x - Step 2: Convert to fraction form
49,404/72,243 = 72,243/x - Step 3: Cross multiply
49,404x = 72,243 × 72,243 - Step 4: Simplify right side
49,404x = 5,219,051,049 - Step 5: Solve for x
x = 5,219,051,049/49,404 - Step 6: Final answer
x = 105,640.25
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.