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Finding the Third Proportional to 16,825 and 35,394

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Solution

The third proportional to 16,825 and 35,394 is: 74,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825 : 35,394 = 35,394 : x
  2. Step 2: Convert to fraction form
    16,825/35,394 = 35,394/x
  3. Step 3: Cross multiply
    16,825x = 35,394 × 35,394
  4. Step 4: Simplify right side
    16,825x = 1,252,735,236
  5. Step 5: Solve for x
    x = 1,252,735,236/16,825
  6. Step 6: Final answer
    x = 74,456.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.