Finding the Third Proportional to 926 and 1,362
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Solution
The third proportional to 926 and 1,362 is: 2,003.29
Step by Step Solution
- Step 1: Write the proportion equation
926 : 1,362 = 1,362 : x - Step 2: Convert to fraction form
926/1,362 = 1,362/x - Step 3: Cross multiply
926x = 1,362 × 1,362 - Step 4: Simplify right side
926x = 1,855,044 - Step 5: Solve for x
x = 1,855,044/926 - Step 6: Final answer
x = 2,003.29
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.