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Finding the Third Proportional to 9,791 and 20,983

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Solution

The third proportional to 9,791 and 20,983 is: 44,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791 : 20,983 = 20,983 : x
  2. Step 2: Convert to fraction form
    9,791/20,983 = 20,983/x
  3. Step 3: Cross multiply
    9,791x = 20,983 × 20,983
  4. Step 4: Simplify right side
    9,791x = 440,286,289
  5. Step 5: Solve for x
    x = 440,286,289/9,791
  6. Step 6: Final answer
    x = 44,968.47

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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.