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Finding the Third Proportional to 22,782 and 49,450

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Solution

The third proportional to 22,782 and 49,450 is: 107,334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782 : 49,450 = 49,450 : x
  2. Step 2: Convert to fraction form
    22,782/49,450 = 49,450/x
  3. Step 3: Cross multiply
    22,782x = 49,450 × 49,450
  4. Step 4: Simplify right side
    22,782x = 2,445,302,500
  5. Step 5: Solve for x
    x = 2,445,302,500/22,782
  6. Step 6: Final answer
    x = 107,334.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.