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Finding the Third Proportional to 9,399 and 20,093

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Solution

The third proportional to 9,399 and 20,093 is: 42,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399 : 20,093 = 20,093 : x
  2. Step 2: Convert to fraction form
    9,399/20,093 = 20,093/x
  3. Step 3: Cross multiply
    9,399x = 20,093 × 20,093
  4. Step 4: Simplify right side
    9,399x = 403,728,649
  5. Step 5: Solve for x
    x = 403,728,649/9,399
  6. Step 6: Final answer
    x = 42,954.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.