Finding the Third Proportional to 12,310 and 29,677.50
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Solution
The third proportional to 12,310 and 29,677.50 is: 71,547.85
Step by Step Solution
- Step 1: Write the proportion equation
12,310 : 29,677.50 = 29,677.50 : x - Step 2: Convert to fraction form
12,310/29,677.50 = 29,677.50/x - Step 3: Cross multiply
12,310x = 29,677.50 × 29,677.50 - Step 4: Simplify right side
12,310x = 880,754,006.25 - Step 5: Solve for x
x = 880,754,006.25/12,310 - Step 6: Final answer
x = 71,547.85
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.