Finding the Third Proportional to 42,284 and 56,956
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Solution
The third proportional to 42,284 and 56,956 is: 76,718.99
Step by Step Solution
- Step 1: Write the proportion equation
42,284 : 56,956 = 56,956 : x - Step 2: Convert to fraction form
42,284/56,956 = 56,956/x - Step 3: Cross multiply
42,284x = 56,956 × 56,956 - Step 4: Simplify right side
42,284x = 3,243,985,936 - Step 5: Solve for x
x = 3,243,985,936/42,284 - Step 6: Final answer
x = 76,718.99
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.