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Finding the Third Proportional to 40,615 and 62,766

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Solution

The third proportional to 40,615 and 62,766 is: 96,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,615 : 62,766 = 62,766 : x
  2. Step 2: Convert to fraction form
    40,615/62,766 = 62,766/x
  3. Step 3: Cross multiply
    40,615x = 62,766 × 62,766
  4. Step 4: Simplify right side
    40,615x = 3,939,570,756
  5. Step 5: Solve for x
    x = 3,939,570,756/40,615
  6. Step 6: Final answer
    x = 96,997.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.