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Finding the Third Proportional to 41,615 and 60,865

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Solution

The third proportional to 41,615 and 60,865 is: 89,019.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,615 : 60,865 = 60,865 : x
  2. Step 2: Convert to fraction form
    41,615/60,865 = 60,865/x
  3. Step 3: Cross multiply
    41,615x = 60,865 × 60,865
  4. Step 4: Simplify right side
    41,615x = 3,704,548,225
  5. Step 5: Solve for x
    x = 3,704,548,225/41,615
  6. Step 6: Final answer
    x = 89,019.54

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.