Finding the Third Proportional to 10,590 and 14,382
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Solution
The third proportional to 10,590 and 14,382 is: 19,531.82
Step by Step Solution
- Step 1: Write the proportion equation
10,590 : 14,382 = 14,382 : x - Step 2: Convert to fraction form
10,590/14,382 = 14,382/x - Step 3: Cross multiply
10,590x = 14,382 × 14,382 - Step 4: Simplify right side
10,590x = 206,841,924 - Step 5: Solve for x
x = 206,841,924/10,590 - Step 6: Final answer
x = 19,531.82
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.