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Finding the Third Proportional to 44,728 and 91,398

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Solution

The third proportional to 44,728 and 91,398 is: 186,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,728 : 91,398 = 91,398 : x
  2. Step 2: Convert to fraction form
    44,728/91,398 = 91,398/x
  3. Step 3: Cross multiply
    44,728x = 91,398 × 91,398
  4. Step 4: Simplify right side
    44,728x = 8,353,594,404
  5. Step 5: Solve for x
    x = 8,353,594,404/44,728
  6. Step 6: Final answer
    x = 186,764.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.