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Finding the Third Proportional to 19,598 and 30,422

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Solution

The third proportional to 19,598 and 30,422 is: 47,224.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,598 : 30,422 = 30,422 : x
  2. Step 2: Convert to fraction form
    19,598/30,422 = 30,422/x
  3. Step 3: Cross multiply
    19,598x = 30,422 × 30,422
  4. Step 4: Simplify right side
    19,598x = 925,498,084
  5. Step 5: Solve for x
    x = 925,498,084/19,598
  6. Step 6: Final answer
    x = 47,224.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.