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Finding the Third Proportional to 39,012 and 83,945

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Solution

The third proportional to 39,012 and 83,945 is: 180,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,012 : 83,945 = 83,945 : x
  2. Step 2: Convert to fraction form
    39,012/83,945 = 83,945/x
  3. Step 3: Cross multiply
    39,012x = 83,945 × 83,945
  4. Step 4: Simplify right side
    39,012x = 7,046,763,025
  5. Step 5: Solve for x
    x = 7,046,763,025/39,012
  6. Step 6: Final answer
    x = 180,630.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.