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Finding the Third Proportional to 21,922 and 31,019

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Solution

The third proportional to 21,922 and 31,019 is: 43,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922 : 31,019 = 31,019 : x
  2. Step 2: Convert to fraction form
    21,922/31,019 = 31,019/x
  3. Step 3: Cross multiply
    21,922x = 31,019 × 31,019
  4. Step 4: Simplify right side
    21,922x = 962,178,361
  5. Step 5: Solve for x
    x = 962,178,361/21,922
  6. Step 6: Final answer
    x = 43,890.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.