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Finding the Third Proportional to 40,285 and 56,629.50

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Solution

The third proportional to 40,285 and 56,629.50 is: 79,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,285 : 56,629.50 = 56,629.50 : x
  2. Step 2: Convert to fraction form
    40,285/56,629.50 = 56,629.50/x
  3. Step 3: Cross multiply
    40,285x = 56,629.50 × 56,629.50
  4. Step 4: Simplify right side
    40,285x = 3,206,900,270.25
  5. Step 5: Solve for x
    x = 3,206,900,270.25/40,285
  6. Step 6: Final answer
    x = 79,605.32

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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.