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Finding the Third Proportional to 9,695 and 20,110

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Solution

The third proportional to 9,695 and 20,110 is: 41,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695 : 20,110 = 20,110 : x
  2. Step 2: Convert to fraction form
    9,695/20,110 = 20,110/x
  3. Step 3: Cross multiply
    9,695x = 20,110 × 20,110
  4. Step 4: Simplify right side
    9,695x = 404,412,100
  5. Step 5: Solve for x
    x = 404,412,100/9,695
  6. Step 6: Final answer
    x = 41,713.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.