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Finding the Third Proportional to 16,634 and 36,394

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Solution

The third proportional to 16,634 and 36,394 is: 79,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,634 : 36,394 = 36,394 : x
  2. Step 2: Convert to fraction form
    16,634/36,394 = 36,394/x
  3. Step 3: Cross multiply
    16,634x = 36,394 × 36,394
  4. Step 4: Simplify right side
    16,634x = 1,324,523,236
  5. Step 5: Solve for x
    x = 1,324,523,236/16,634
  6. Step 6: Final answer
    x = 79,627.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.