Finding the Third Proportional to 972 and 1,074
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Solution
The third proportional to 972 and 1,074 is: 1,186.70
Step by Step Solution
- Step 1: Write the proportion equation
972 : 1,074 = 1,074 : x - Step 2: Convert to fraction form
972/1,074 = 1,074/x - Step 3: Cross multiply
972x = 1,074 × 1,074 - Step 4: Simplify right side
972x = 1,153,476 - Step 5: Solve for x
x = 1,153,476/972 - Step 6: Final answer
x = 1,186.70
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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.