Finding the Third Proportional to 10,312 and 16,084.50
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Solution
The third proportional to 10,312 and 16,084.50 is: 25,088.36
Step by Step Solution
- Step 1: Write the proportion equation
10,312 : 16,084.50 = 16,084.50 : x - Step 2: Convert to fraction form
10,312/16,084.50 = 16,084.50/x - Step 3: Cross multiply
10,312x = 16,084.50 × 16,084.50 - Step 4: Simplify right side
10,312x = 258,711,140.25 - Step 5: Solve for x
x = 258,711,140.25/10,312 - Step 6: Final answer
x = 25,088.36
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.