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Finding the Third Proportional to 39,948 and 57,546

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Solution

The third proportional to 39,948 and 57,546 is: 82,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,948 : 57,546 = 57,546 : x
  2. Step 2: Convert to fraction form
    39,948/57,546 = 57,546/x
  3. Step 3: Cross multiply
    39,948x = 57,546 × 57,546
  4. Step 4: Simplify right side
    39,948x = 3,311,542,116
  5. Step 5: Solve for x
    x = 3,311,542,116/39,948
  6. Step 6: Final answer
    x = 82,896.32

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Why These Related Problems?

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