Finding the Third Proportional to 13,828 and 21,988
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Solution
The third proportional to 13,828 and 21,988 is: 34,963.27
Step by Step Solution
- Step 1: Write the proportion equation
13,828 : 21,988 = 21,988 : x - Step 2: Convert to fraction form
13,828/21,988 = 21,988/x - Step 3: Cross multiply
13,828x = 21,988 × 21,988 - Step 4: Simplify right side
13,828x = 483,472,144 - Step 5: Solve for x
x = 483,472,144/13,828 - Step 6: Final answer
x = 34,963.27
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.