Finding the Third Proportional to 9,846 and 15,657
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Solution
The third proportional to 9,846 and 15,657 is: 24,897.59
Step by Step Solution
- Step 1: Write the proportion equation
9,846 : 15,657 = 15,657 : x - Step 2: Convert to fraction form
9,846/15,657 = 15,657/x - Step 3: Cross multiply
9,846x = 15,657 × 15,657 - Step 4: Simplify right side
9,846x = 245,141,649 - Step 5: Solve for x
x = 245,141,649/9,846 - Step 6: Final answer
x = 24,897.59
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.