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Finding the Third Proportional to 21,894 and 33,966

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Solution

The third proportional to 21,894 and 33,966 is: 52,694.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894 : 33,966 = 33,966 : x
  2. Step 2: Convert to fraction form
    21,894/33,966 = 33,966/x
  3. Step 3: Cross multiply
    21,894x = 33,966 × 33,966
  4. Step 4: Simplify right side
    21,894x = 1,153,689,156
  5. Step 5: Solve for x
    x = 1,153,689,156/21,894
  6. Step 6: Final answer
    x = 52,694.31

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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.