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Finding the Third Proportional to 41,886 and 60,435

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Solution

The third proportional to 41,886 and 60,435 is: 87,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,886 : 60,435 = 60,435 : x
  2. Step 2: Convert to fraction form
    41,886/60,435 = 60,435/x
  3. Step 3: Cross multiply
    41,886x = 60,435 × 60,435
  4. Step 4: Simplify right side
    41,886x = 3,652,389,225
  5. Step 5: Solve for x
    x = 3,652,389,225/41,886
  6. Step 6: Final answer
    x = 87,198.33

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.