Finding the Third Proportional to 22,038 and 29,978
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Solution
The third proportional to 22,038 and 29,978 is: 40,778.68
Step by Step Solution
- Step 1: Write the proportion equation
22,038 : 29,978 = 29,978 : x - Step 2: Convert to fraction form
22,038/29,978 = 29,978/x - Step 3: Cross multiply
22,038x = 29,978 × 29,978 - Step 4: Simplify right side
22,038x = 898,680,484 - Step 5: Solve for x
x = 898,680,484/22,038 - Step 6: Final answer
x = 40,778.68
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.