Finding the Third Proportional to 48,292 and 76,842
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Solution
The third proportional to 48,292 and 76,842 is: 122,270.62
Step by Step Solution
- Step 1: Write the proportion equation
48,292 : 76,842 = 76,842 : x - Step 2: Convert to fraction form
48,292/76,842 = 76,842/x - Step 3: Cross multiply
48,292x = 76,842 × 76,842 - Step 4: Simplify right side
48,292x = 5,904,692,964 - Step 5: Solve for x
x = 5,904,692,964/48,292 - Step 6: Final answer
x = 122,270.62
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.