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Finding the Third Proportional to 19,767 and 43,422

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Solution

The third proportional to 19,767 and 43,422 is: 95,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767 : 43,422 = 43,422 : x
  2. Step 2: Convert to fraction form
    19,767/43,422 = 43,422/x
  3. Step 3: Cross multiply
    19,767x = 43,422 × 43,422
  4. Step 4: Simplify right side
    19,767x = 1,885,470,084
  5. Step 5: Solve for x
    x = 1,885,470,084/19,767
  6. Step 6: Final answer
    x = 95,384.74

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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.