Finding the Third Proportional to 42,776 and 65,836
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Solution
The third proportional to 42,776 and 65,836 is: 101,327.35
Step by Step Solution
- Step 1: Write the proportion equation
42,776 : 65,836 = 65,836 : x - Step 2: Convert to fraction form
42,776/65,836 = 65,836/x - Step 3: Cross multiply
42,776x = 65,836 × 65,836 - Step 4: Simplify right side
42,776x = 4,334,378,896 - Step 5: Solve for x
x = 4,334,378,896/42,776 - Step 6: Final answer
x = 101,327.35
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.