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Finding the Third Proportional to 9,414 and 21,894

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Solution

The third proportional to 9,414 and 21,894 is: 50,918.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414 : 21,894 = 21,894 : x
  2. Step 2: Convert to fraction form
    9,414/21,894 = 21,894/x
  3. Step 3: Cross multiply
    9,414x = 21,894 × 21,894
  4. Step 4: Simplify right side
    9,414x = 479,347,236
  5. Step 5: Solve for x
    x = 479,347,236/9,414
  6. Step 6: Final answer
    x = 50,918.55

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.