Finding the Third Proportional to 37,410 and 57,429
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Solution
The third proportional to 37,410 and 57,429 is: 88,160.65
Step by Step Solution
- Step 1: Write the proportion equation
37,410 : 57,429 = 57,429 : x - Step 2: Convert to fraction form
37,410/57,429 = 57,429/x - Step 3: Cross multiply
37,410x = 57,429 × 57,429 - Step 4: Simplify right side
37,410x = 3,298,090,041 - Step 5: Solve for x
x = 3,298,090,041/37,410 - Step 6: Final answer
x = 88,160.65
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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.