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Finding the Third Proportional to 23,098 and 50,742

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Solution

The third proportional to 23,098 and 50,742 is: 111,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,098 : 50,742 = 50,742 : x
  2. Step 2: Convert to fraction form
    23,098/50,742 = 50,742/x
  3. Step 3: Cross multiply
    23,098x = 50,742 × 50,742
  4. Step 4: Simplify right side
    23,098x = 2,574,750,564
  5. Step 5: Solve for x
    x = 2,574,750,564/23,098
  6. Step 6: Final answer
    x = 111,470.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.