Finding the Third Proportional to 974 and 1,073
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Solution
The third proportional to 974 and 1,073 is: 1,182.06
Step by Step Solution
- Step 1: Write the proportion equation
974 : 1,073 = 1,073 : x - Step 2: Convert to fraction form
974/1,073 = 1,073/x - Step 3: Cross multiply
974x = 1,073 × 1,073 - Step 4: Simplify right side
974x = 1,151,329 - Step 5: Solve for x
x = 1,151,329/974 - Step 6: Final answer
x = 1,182.06
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.