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Finding the Third Proportional to 9,806 and 20,933

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Solution

The third proportional to 9,806 and 20,933 is: 44,685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806 : 20,933 = 20,933 : x
  2. Step 2: Convert to fraction form
    9,806/20,933 = 20,933/x
  3. Step 3: Cross multiply
    9,806x = 20,933 × 20,933
  4. Step 4: Simplify right side
    9,806x = 438,190,489
  5. Step 5: Solve for x
    x = 438,190,489/9,806
  6. Step 6: Final answer
    x = 44,685.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.