Finding the Third Proportional to 9,784 and 15,498
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Solution
The third proportional to 9,784 and 15,498 is: 24,549.06
Step by Step Solution
- Step 1: Write the proportion equation
9,784 : 15,498 = 15,498 : x - Step 2: Convert to fraction form
9,784/15,498 = 15,498/x - Step 3: Cross multiply
9,784x = 15,498 × 15,498 - Step 4: Simplify right side
9,784x = 240,188,004 - Step 5: Solve for x
x = 240,188,004/9,784 - Step 6: Final answer
x = 24,549.06
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.