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Finding the Third Proportional to 8,024 and 9,806

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Solution

The third proportional to 8,024 and 9,806 is: 11,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024 : 9,806 = 9,806 : x
  2. Step 2: Convert to fraction form
    8,024/9,806 = 9,806/x
  3. Step 3: Cross multiply
    8,024x = 9,806 × 9,806
  4. Step 4: Simplify right side
    8,024x = 96,157,636
  5. Step 5: Solve for x
    x = 96,157,636/8,024
  6. Step 6: Final answer
    x = 11,983.75

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.