Finding the Third Proportional to 32,053.75 and 83,209.75
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Solution
The third proportional to 32,053.75 and 83,209.75 is: 216,007.88
Step by Step Solution
- Step 1: Write the proportion equation
32,053.75 : 83,209.75 = 83,209.75 : x - Step 2: Convert to fraction form
32,053.75/83,209.75 = 83,209.75/x - Step 3: Cross multiply
32,053.75x = 83,209.75 × 83,209.75 - Step 4: Simplify right side
32,053.75x = 6,923,862,495.06 - Step 5: Solve for x
x = 6,923,862,495.06/32,053.75 - Step 6: Final answer
x = 216,007.88
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.