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Finding the Third Proportional to 37,728 and 40,963

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Solution

The third proportional to 37,728 and 40,963 is: 44,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,728 : 40,963 = 40,963 : x
  2. Step 2: Convert to fraction form
    37,728/40,963 = 40,963/x
  3. Step 3: Cross multiply
    37,728x = 40,963 × 40,963
  4. Step 4: Simplify right side
    37,728x = 1,677,967,369
  5. Step 5: Solve for x
    x = 1,677,967,369/37,728
  6. Step 6: Final answer
    x = 44,475.39

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.