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Finding the Third Proportional to 40,785 and 57,435.50

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Solution

The third proportional to 40,785 and 57,435.50 is: 80,883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,785 : 57,435.50 = 57,435.50 : x
  2. Step 2: Convert to fraction form
    40,785/57,435.50 = 57,435.50/x
  3. Step 3: Cross multiply
    40,785x = 57,435.50 × 57,435.50
  4. Step 4: Simplify right side
    40,785x = 3,298,836,660.25
  5. Step 5: Solve for x
    x = 3,298,836,660.25/40,785
  6. Step 6: Final answer
    x = 80,883.58

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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.