Finding the Third Proportional to 9,900 and 12,870
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Solution
The third proportional to 9,900 and 12,870 is: 16,731
Step by Step Solution
- Step 1: Write the proportion equation
9,900 : 12,870 = 12,870 : x - Step 2: Convert to fraction form
9,900/12,870 = 12,870/x - Step 3: Cross multiply
9,900x = 12,870 × 12,870 - Step 4: Simplify right side
9,900x = 165,636,900 - Step 5: Solve for x
x = 165,636,900/9,900 - Step 6: Final answer
x = 16,731
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.