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Finding the Third Proportional to 9,701 and 20,266

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Solution

The third proportional to 9,701 and 20,266 is: 42,336.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701 : 20,266 = 20,266 : x
  2. Step 2: Convert to fraction form
    9,701/20,266 = 20,266/x
  3. Step 3: Cross multiply
    9,701x = 20,266 × 20,266
  4. Step 4: Simplify right side
    9,701x = 410,710,756
  5. Step 5: Solve for x
    x = 410,710,756/9,701
  6. Step 6: Final answer
    x = 42,336.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.