Finding the Third Proportional to 10,618 and 22,502
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Solution
The third proportional to 10,618 and 22,502 is: 47,686.95
Step by Step Solution
- Step 1: Write the proportion equation
10,618 : 22,502 = 22,502 : x - Step 2: Convert to fraction form
10,618/22,502 = 22,502/x - Step 3: Cross multiply
10,618x = 22,502 × 22,502 - Step 4: Simplify right side
10,618x = 506,340,004 - Step 5: Solve for x
x = 506,340,004/10,618 - Step 6: Final answer
x = 47,686.95
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.