Finding the Third Proportional to 24,300 and 38,142
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Solution
The third proportional to 24,300 and 38,142 is: 59,868.81
Step by Step Solution
- Step 1: Write the proportion equation
24,300 : 38,142 = 38,142 : x - Step 2: Convert to fraction form
24,300/38,142 = 38,142/x - Step 3: Cross multiply
24,300x = 38,142 × 38,142 - Step 4: Simplify right side
24,300x = 1,454,812,164 - Step 5: Solve for x
x = 1,454,812,164/24,300 - Step 6: Final answer
x = 59,868.81
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.