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Finding the Third Proportional to 49,982 and 74,831

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Solution

The third proportional to 49,982 and 74,831 is: 112,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,982 : 74,831 = 74,831 : x
  2. Step 2: Convert to fraction form
    49,982/74,831 = 74,831/x
  3. Step 3: Cross multiply
    49,982x = 74,831 × 74,831
  4. Step 4: Simplify right side
    49,982x = 5,599,678,561
  5. Step 5: Solve for x
    x = 5,599,678,561/49,982
  6. Step 6: Final answer
    x = 112,033.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.