Finding the Third Proportional to 1,282.92 and 1,831.99
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Solution
The third proportional to 1,282.92 and 1,831.99 is: 2,616.06
Step by Step Solution
- Step 1: Write the proportion equation
1,282.92 : 1,831.99 = 1,831.99 : x - Step 2: Convert to fraction form
1,282.92/1,831.99 = 1,831.99/x - Step 3: Cross multiply
1,282.92x = 1,831.99 × 1,831.99 - Step 4: Simplify right side
1,282.92x = 3,356,195.38 - Step 5: Solve for x
x = 3,356,195.38/1,282.92 - Step 6: Final answer
x = 2,616.06
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.