Finding the Third Proportional to 856 and 1,862
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Solution
The third proportional to 856 and 1,862 is: 4,050.29
Step by Step Solution
- Step 1: Write the proportion equation
856 : 1,862 = 1,862 : x - Step 2: Convert to fraction form
856/1,862 = 1,862/x - Step 3: Cross multiply
856x = 1,862 × 1,862 - Step 4: Simplify right side
856x = 3,467,044 - Step 5: Solve for x
x = 3,467,044/856 - Step 6: Final answer
x = 4,050.29
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.