Finding the Third Proportional to 28,906 and 31,174
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Solution
The third proportional to 28,906 and 31,174 is: 33,619.95
Step by Step Solution
- Step 1: Write the proportion equation
28,906 : 31,174 = 31,174 : x - Step 2: Convert to fraction form
28,906/31,174 = 31,174/x - Step 3: Cross multiply
28,906x = 31,174 × 31,174 - Step 4: Simplify right side
28,906x = 971,818,276 - Step 5: Solve for x
x = 971,818,276/28,906 - Step 6: Final answer
x = 33,619.95
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.