Finding the Third Proportional to 21,930 and 31,248
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Solution
The third proportional to 21,930 and 31,248 is: 44,525.19
Step by Step Solution
- Step 1: Write the proportion equation
21,930 : 31,248 = 31,248 : x - Step 2: Convert to fraction form
21,930/31,248 = 31,248/x - Step 3: Cross multiply
21,930x = 31,248 × 31,248 - Step 4: Simplify right side
21,930x = 976,437,504 - Step 5: Solve for x
x = 976,437,504/21,930 - Step 6: Final answer
x = 44,525.19
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.