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Finding the Third Proportional to 49,825 and 74,027

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Solution

The third proportional to 49,825 and 74,027 is: 109,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,825 : 74,027 = 74,027 : x
  2. Step 2: Convert to fraction form
    49,825/74,027 = 74,027/x
  3. Step 3: Cross multiply
    49,825x = 74,027 × 74,027
  4. Step 4: Simplify right side
    49,825x = 5,479,996,729
  5. Step 5: Solve for x
    x = 5,479,996,729/49,825
  6. Step 6: Final answer
    x = 109,984.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.