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Finding the Third Proportional to 18,782 and 44,422

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Solution

The third proportional to 18,782 and 44,422 is: 105,064.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,782 : 44,422 = 44,422 : x
  2. Step 2: Convert to fraction form
    18,782/44,422 = 44,422/x
  3. Step 3: Cross multiply
    18,782x = 44,422 × 44,422
  4. Step 4: Simplify right side
    18,782x = 1,973,314,084
  5. Step 5: Solve for x
    x = 1,973,314,084/18,782
  6. Step 6: Final answer
    x = 105,064.11

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.