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Finding the Third Proportional to 39,538 and 86,852

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Solution

The third proportional to 39,538 and 86,852 is: 190,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,538 : 86,852 = 86,852 : x
  2. Step 2: Convert to fraction form
    39,538/86,852 = 86,852/x
  3. Step 3: Cross multiply
    39,538x = 86,852 × 86,852
  4. Step 4: Simplify right side
    39,538x = 7,543,269,904
  5. Step 5: Solve for x
    x = 7,543,269,904/39,538
  6. Step 6: Final answer
    x = 190,785.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.