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Finding the Third Proportional to 9,791.50 and 20,969

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Solution

The third proportional to 9,791.50 and 20,969 is: 44,906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.50 : 20,969 = 20,969 : x
  2. Step 2: Convert to fraction form
    9,791.50/20,969 = 20,969/x
  3. Step 3: Cross multiply
    9,791.50x = 20,969 × 20,969
  4. Step 4: Simplify right side
    9,791.50x = 439,698,961
  5. Step 5: Solve for x
    x = 439,698,961/9,791.50
  6. Step 6: Final answer
    x = 44,906.19

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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.