Finding the Third Proportional to 5,915.50 and 12,983
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Solution
The third proportional to 5,915.50 and 12,983 is: 28,494.34
Step by Step Solution
- Step 1: Write the proportion equation
5,915.50 : 12,983 = 12,983 : x - Step 2: Convert to fraction form
5,915.50/12,983 = 12,983/x - Step 3: Cross multiply
5,915.50x = 12,983 × 12,983 - Step 4: Simplify right side
5,915.50x = 168,558,289 - Step 5: Solve for x
x = 168,558,289/5,915.50 - Step 6: Final answer
x = 28,494.34
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.