Finding the Third Proportional to 5,698 and 12,338
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Solution
The third proportional to 5,698 and 12,338 is: 26,715.73
Step by Step Solution
- Step 1: Write the proportion equation
5,698 : 12,338 = 12,338 : x - Step 2: Convert to fraction form
5,698/12,338 = 12,338/x - Step 3: Cross multiply
5,698x = 12,338 × 12,338 - Step 4: Simplify right side
5,698x = 152,226,244 - Step 5: Solve for x
x = 152,226,244/5,698 - Step 6: Final answer
x = 26,715.73
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.