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Finding the Third Proportional to 9,694.69 and 20,012.06

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Solution

The third proportional to 9,694.69 and 20,012.06 is: 41,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.69 : 20,012.06 = 20,012.06 : x
  2. Step 2: Convert to fraction form
    9,694.69/20,012.06 = 20,012.06/x
  3. Step 3: Cross multiply
    9,694.69x = 20,012.06 × 20,012.06
  4. Step 4: Simplify right side
    9,694.69x = 400,482,645.50
  5. Step 5: Solve for x
    x = 400,482,645.50/9,694.69
  6. Step 6: Final answer
    x = 41,309.50

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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.