Finding the Third Proportional to 972 and 1,066
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Solution
The third proportional to 972 and 1,066 is: 1,169.09
Step by Step Solution
- Step 1: Write the proportion equation
972 : 1,066 = 1,066 : x - Step 2: Convert to fraction form
972/1,066 = 1,066/x - Step 3: Cross multiply
972x = 1,066 × 1,066 - Step 4: Simplify right side
972x = 1,136,356 - Step 5: Solve for x
x = 1,136,356/972 - Step 6: Final answer
x = 1,169.09
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Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.