Finding the Third Proportional to 974 and 1,584
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Solution
The third proportional to 974 and 1,584 is: 2,576.03
Step by Step Solution
- Step 1: Write the proportion equation
974 : 1,584 = 1,584 : x - Step 2: Convert to fraction form
974/1,584 = 1,584/x - Step 3: Cross multiply
974x = 1,584 × 1,584 - Step 4: Simplify right side
974x = 2,509,056 - Step 5: Solve for x
x = 2,509,056/974 - Step 6: Final answer
x = 2,576.03
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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.