Finding the Third Proportional to 21,146 and 32,271
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Solution
The third proportional to 21,146 and 32,271 is: 49,248.91
Step by Step Solution
- Step 1: Write the proportion equation
21,146 : 32,271 = 32,271 : x - Step 2: Convert to fraction form
21,146/32,271 = 32,271/x - Step 3: Cross multiply
21,146x = 32,271 × 32,271 - Step 4: Simplify right side
21,146x = 1,041,417,441 - Step 5: Solve for x
x = 1,041,417,441/21,146 - Step 6: Final answer
x = 49,248.91
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.