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Finding the Third Proportional to 23,112 and 49,785.75

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Solution

The third proportional to 23,112 and 49,785.75 is: 107,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112 : 49,785.75 = 49,785.75 : x
  2. Step 2: Convert to fraction form
    23,112/49,785.75 = 49,785.75/x
  3. Step 3: Cross multiply
    23,112x = 49,785.75 × 49,785.75
  4. Step 4: Simplify right side
    23,112x = 2,478,620,903.06
  5. Step 5: Solve for x
    x = 2,478,620,903.06/23,112
  6. Step 6: Final answer
    x = 107,243.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.