Finding the Third Proportional to 32,972 and 48,733
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Solution
The third proportional to 32,972 and 48,733 is: 72,027.94
Step by Step Solution
- Step 1: Write the proportion equation
32,972 : 48,733 = 48,733 : x - Step 2: Convert to fraction form
32,972/48,733 = 48,733/x - Step 3: Cross multiply
32,972x = 48,733 × 48,733 - Step 4: Simplify right side
32,972x = 2,374,905,289 - Step 5: Solve for x
x = 2,374,905,289/32,972 - Step 6: Final answer
x = 72,027.94
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Why These Related Problems?
These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.