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Finding the Third Proportional to 10,197 and 20,817

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Solution

The third proportional to 10,197 and 20,817 is: 42,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197 : 20,817 = 20,817 : x
  2. Step 2: Convert to fraction form
    10,197/20,817 = 20,817/x
  3. Step 3: Cross multiply
    10,197x = 20,817 × 20,817
  4. Step 4: Simplify right side
    10,197x = 433,347,489
  5. Step 5: Solve for x
    x = 433,347,489/10,197
  6. Step 6: Final answer
    x = 42,497.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.