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Finding the Third Proportional to 39,914 and 58,116

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Solution

The third proportional to 39,914 and 58,116 is: 84,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,914 : 58,116 = 58,116 : x
  2. Step 2: Convert to fraction form
    39,914/58,116 = 58,116/x
  3. Step 3: Cross multiply
    39,914x = 58,116 × 58,116
  4. Step 4: Simplify right side
    39,914x = 3,377,469,456
  5. Step 5: Solve for x
    x = 3,377,469,456/39,914
  6. Step 6: Final answer
    x = 84,618.67

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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.