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Finding the Third Proportional to 9,765 and 20,694

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Solution

The third proportional to 9,765 and 20,694 is: 43,854.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765 : 20,694 = 20,694 : x
  2. Step 2: Convert to fraction form
    9,765/20,694 = 20,694/x
  3. Step 3: Cross multiply
    9,765x = 20,694 × 20,694
  4. Step 4: Simplify right side
    9,765x = 428,241,636
  5. Step 5: Solve for x
    x = 428,241,636/9,765
  6. Step 6: Final answer
    x = 43,854.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.