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Finding the Third Proportional to 19,020 and 27,981

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Solution

The third proportional to 19,020 and 27,981 is: 41,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,020 : 27,981 = 27,981 : x
  2. Step 2: Convert to fraction form
    19,020/27,981 = 27,981/x
  3. Step 3: Cross multiply
    19,020x = 27,981 × 27,981
  4. Step 4: Simplify right side
    19,020x = 782,936,361
  5. Step 5: Solve for x
    x = 782,936,361/19,020
  6. Step 6: Final answer
    x = 41,163.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.