Finding the Third Proportional to 13,398 and 14,370
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Solution
The third proportional to 13,398 and 14,370 is: 15,412.52
Step by Step Solution
- Step 1: Write the proportion equation
13,398 : 14,370 = 14,370 : x - Step 2: Convert to fraction form
13,398/14,370 = 14,370/x - Step 3: Cross multiply
13,398x = 14,370 × 14,370 - Step 4: Simplify right side
13,398x = 206,496,900 - Step 5: Solve for x
x = 206,496,900/13,398 - Step 6: Final answer
x = 15,412.52
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.