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Finding the Third Proportional to 39,976 and 60,828

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Solution

The third proportional to 39,976 and 60,828 is: 92,556.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,976 : 60,828 = 60,828 : x
  2. Step 2: Convert to fraction form
    39,976/60,828 = 60,828/x
  3. Step 3: Cross multiply
    39,976x = 60,828 × 60,828
  4. Step 4: Simplify right side
    39,976x = 3,700,045,584
  5. Step 5: Solve for x
    x = 3,700,045,584/39,976
  6. Step 6: Final answer
    x = 92,556.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.