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Finding the Third Proportional to 41,713 and 91,728

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Solution

The third proportional to 41,713 and 91,728 is: 201,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,713 : 91,728 = 91,728 : x
  2. Step 2: Convert to fraction form
    41,713/91,728 = 91,728/x
  3. Step 3: Cross multiply
    41,713x = 91,728 × 91,728
  4. Step 4: Simplify right side
    41,713x = 8,414,025,984
  5. Step 5: Solve for x
    x = 8,414,025,984/41,713
  6. Step 6: Final answer
    x = 201,712.32

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Why These Related Problems?

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