Finding the Third Proportional to 21,046 and 31,924
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Solution
The third proportional to 21,046 and 31,924 is: 48,424.49
Step by Step Solution
- Step 1: Write the proportion equation
21,046 : 31,924 = 31,924 : x - Step 2: Convert to fraction form
21,046/31,924 = 31,924/x - Step 3: Cross multiply
21,046x = 31,924 × 31,924 - Step 4: Simplify right side
21,046x = 1,019,141,776 - Step 5: Solve for x
x = 1,019,141,776/21,046 - Step 6: Final answer
x = 48,424.49
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.