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Finding the Third Proportional to 4,219.03 and 9,767.39

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Solution

The third proportional to 4,219.03 and 9,767.39 is: 22,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.03 : 9,767.39 = 9,767.39 : x
  2. Step 2: Convert to fraction form
    4,219.03/9,767.39 = 9,767.39/x
  3. Step 3: Cross multiply
    4,219.03x = 9,767.39 × 9,767.39
  4. Step 4: Simplify right side
    4,219.03x = 95,401,919.62
  5. Step 5: Solve for x
    x = 95,401,919.62/4,219.03
  6. Step 6: Final answer
    x = 22,612.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.