Finding the Third Proportional to 857 and 1,656
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Solution
The third proportional to 857 and 1,656 is: 3,199.93
Step by Step Solution
- Step 1: Write the proportion equation
857 : 1,656 = 1,656 : x - Step 2: Convert to fraction form
857/1,656 = 1,656/x - Step 3: Cross multiply
857x = 1,656 × 1,656 - Step 4: Simplify right side
857x = 2,742,336 - Step 5: Solve for x
x = 2,742,336/857 - Step 6: Final answer
x = 3,199.93
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Why These Related Problems?
These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.