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Finding the Third Proportional to 19,974 and 21,894

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Solution

The third proportional to 19,974 and 21,894 is: 23,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974 : 21,894 = 21,894 : x
  2. Step 2: Convert to fraction form
    19,974/21,894 = 21,894/x
  3. Step 3: Cross multiply
    19,974x = 21,894 × 21,894
  4. Step 4: Simplify right side
    19,974x = 479,347,236
  5. Step 5: Solve for x
    x = 479,347,236/19,974
  6. Step 6: Final answer
    x = 23,998.56

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.