Finding the Third Proportional to 828 and 1,584
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Solution
The third proportional to 828 and 1,584 is: 3,030.26
Step by Step Solution
- Step 1: Write the proportion equation
828 : 1,584 = 1,584 : x - Step 2: Convert to fraction form
828/1,584 = 1,584/x - Step 3: Cross multiply
828x = 1,584 × 1,584 - Step 4: Simplify right side
828x = 2,509,056 - Step 5: Solve for x
x = 2,509,056/828 - Step 6: Final answer
x = 3,030.26
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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.