Finding the Third Proportional to 49,434 and 72,288
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Solution
The third proportional to 49,434 and 72,288 is: 105,707.71
Step by Step Solution
- Step 1: Write the proportion equation
49,434 : 72,288 = 72,288 : x - Step 2: Convert to fraction form
49,434/72,288 = 72,288/x - Step 3: Cross multiply
49,434x = 72,288 × 72,288 - Step 4: Simplify right side
49,434x = 5,225,554,944 - Step 5: Solve for x
x = 5,225,554,944/49,434 - Step 6: Final answer
x = 105,707.71
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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.