Finding the Third Proportional to 20,426 and 32,772
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Solution
The third proportional to 20,426 and 32,772 is: 52,580.24
Step by Step Solution
- Step 1: Write the proportion equation
20,426 : 32,772 = 32,772 : x - Step 2: Convert to fraction form
20,426/32,772 = 32,772/x - Step 3: Cross multiply
20,426x = 32,772 × 32,772 - Step 4: Simplify right side
20,426x = 1,074,003,984 - Step 5: Solve for x
x = 1,074,003,984/20,426 - Step 6: Final answer
x = 52,580.24
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.