Finding the Third Proportional to 10,957.50 and 17,352
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Solution
The third proportional to 10,957.50 and 17,352 is: 27,478.16
Step by Step Solution
- Step 1: Write the proportion equation
10,957.50 : 17,352 = 17,352 : x - Step 2: Convert to fraction form
10,957.50/17,352 = 17,352/x - Step 3: Cross multiply
10,957.50x = 17,352 × 17,352 - Step 4: Simplify right side
10,957.50x = 301,091,904 - Step 5: Solve for x
x = 301,091,904/10,957.50 - Step 6: Final answer
x = 27,478.16
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.