Finding the Third Proportional to 31,297 and 64,052
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Solution
The third proportional to 31,297 and 64,052 is: 131,087.92
Step by Step Solution
- Step 1: Write the proportion equation
31,297 : 64,052 = 64,052 : x - Step 2: Convert to fraction form
31,297/64,052 = 64,052/x - Step 3: Cross multiply
31,297x = 64,052 × 64,052 - Step 4: Simplify right side
31,297x = 4,102,658,704 - Step 5: Solve for x
x = 4,102,658,704/31,297 - Step 6: Final answer
x = 131,087.92
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.