Finding the Third Proportional to 12,306 and 19,280
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Solution
The third proportional to 12,306 and 19,280 is: 30,206.27
Step by Step Solution
- Step 1: Write the proportion equation
12,306 : 19,280 = 19,280 : x - Step 2: Convert to fraction form
12,306/19,280 = 19,280/x - Step 3: Cross multiply
12,306x = 19,280 × 19,280 - Step 4: Simplify right side
12,306x = 371,718,400 - Step 5: Solve for x
x = 371,718,400/12,306 - Step 6: Final answer
x = 30,206.27
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.