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Finding the Third Proportional to 39,018.38 and 82,896.75

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Solution

The third proportional to 39,018.38 and 82,896.75 is: 176,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,018.38 : 82,896.75 = 82,896.75 : x
  2. Step 2: Convert to fraction form
    39,018.38/82,896.75 = 82,896.75/x
  3. Step 3: Cross multiply
    39,018.38x = 82,896.75 × 82,896.75
  4. Step 4: Simplify right side
    39,018.38x = 6,871,871,160.56
  5. Step 5: Solve for x
    x = 6,871,871,160.56/39,018.38
  6. Step 6: Final answer
    x = 176,118.85

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.