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Finding the Third Proportional to 8,169 and 16,821

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Solution

The third proportional to 8,169 and 16,821 is: 34,636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169 : 16,821 = 16,821 : x
  2. Step 2: Convert to fraction form
    8,169/16,821 = 16,821/x
  3. Step 3: Cross multiply
    8,169x = 16,821 × 16,821
  4. Step 4: Simplify right side
    8,169x = 282,946,041
  5. Step 5: Solve for x
    x = 282,946,041/8,169
  6. Step 6: Final answer
    x = 34,636.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.