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Finding the Third Proportional to 18,831 and 41,792.25

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Solution

The third proportional to 18,831 and 41,792.25 is: 92,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,831 : 41,792.25 = 41,792.25 : x
  2. Step 2: Convert to fraction form
    18,831/41,792.25 = 41,792.25/x
  3. Step 3: Cross multiply
    18,831x = 41,792.25 × 41,792.25
  4. Step 4: Simplify right side
    18,831x = 1,746,592,160.06
  5. Step 5: Solve for x
    x = 1,746,592,160.06/18,831
  6. Step 6: Final answer
    x = 92,750.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.