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Finding the Third Proportional to 22,373 and 48,742

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Solution

The third proportional to 22,373 and 48,742 is: 106,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,373 : 48,742 = 48,742 : x
  2. Step 2: Convert to fraction form
    22,373/48,742 = 48,742/x
  3. Step 3: Cross multiply
    22,373x = 48,742 × 48,742
  4. Step 4: Simplify right side
    22,373x = 2,375,782,564
  5. Step 5: Solve for x
    x = 2,375,782,564/22,373
  6. Step 6: Final answer
    x = 106,189.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.