Finding the Third Proportional to 32,842 and 48,098
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Solution
The third proportional to 32,842 and 48,098 is: 70,440.83
Step by Step Solution
- Step 1: Write the proportion equation
32,842 : 48,098 = 48,098 : x - Step 2: Convert to fraction form
32,842/48,098 = 48,098/x - Step 3: Cross multiply
32,842x = 48,098 × 48,098 - Step 4: Simplify right side
32,842x = 2,313,417,604 - Step 5: Solve for x
x = 2,313,417,604/32,842 - Step 6: Final answer
x = 70,440.83
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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.