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Finding the Third Proportional to 19,439 and 43,922

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Solution

The third proportional to 19,439 and 43,922 is: 99,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,439 : 43,922 = 43,922 : x
  2. Step 2: Convert to fraction form
    19,439/43,922 = 43,922/x
  3. Step 3: Cross multiply
    19,439x = 43,922 × 43,922
  4. Step 4: Simplify right side
    19,439x = 1,929,142,084
  5. Step 5: Solve for x
    x = 1,929,142,084/19,439
  6. Step 6: Final answer
    x = 99,240.81

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.