Finding the Third Proportional to 870 and 1,656
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Solution
The third proportional to 870 and 1,656 is: 3,152.11
Step by Step Solution
- Step 1: Write the proportion equation
870 : 1,656 = 1,656 : x - Step 2: Convert to fraction form
870/1,656 = 1,656/x - Step 3: Cross multiply
870x = 1,656 × 1,656 - Step 4: Simplify right side
870x = 2,742,336 - Step 5: Solve for x
x = 2,742,336/870 - Step 6: Final answer
x = 3,152.11
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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.