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Finding the Third Proportional to 40,785.75 and 57,431.25

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Solution

The third proportional to 40,785.75 and 57,431.25 is: 80,870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,785.75 : 57,431.25 = 57,431.25 : x
  2. Step 2: Convert to fraction form
    40,785.75/57,431.25 = 57,431.25/x
  3. Step 3: Cross multiply
    40,785.75x = 57,431.25 × 57,431.25
  4. Step 4: Simplify right side
    40,785.75x = 3,298,348,476.56
  5. Step 5: Solve for x
    x = 3,298,348,476.56/40,785.75
  6. Step 6: Final answer
    x = 80,870.12

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.